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3377197920 = 25359977057
BaseRepresentation
bin1100100101001011…
…1111001101100000
322201100210102121110
43021102333031200
523404030313140
61315041023320
7146455465035
oct31122771540
98640712543
103377197920
111483381868
127a3024b40
1341a8a1185
1424075338c
1514b751380
hexc94bf360

3377197920 has 96 divisors (see below), whose sum is σ = 10650352608. Its totient is φ = 899555328.

The previous prime is 3377197919. The next prime is 3377197931. The reversal of 3377197920 is 297917733.

3377197920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33771979202 = 22810931581704652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3377197920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475032 + ... + 482088.

It is an arithmetic number, because the mean of its divisors is an integer number (110941173).

Almost surely, 23377197920 is an apocalyptic number.

3377197920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3377197920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5325176304).

3377197920 is an abundant number, since it is smaller than the sum of its proper divisors (7273154688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3377197920 is a wasteful number, since it uses less digits than its factorization.

3377197920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8072 (or 8064 counting only the distinct ones).

The product of its (nonzero) digits is 500094, while the sum is 48.

The square root of 3377197920 is about 58113.6637977679. The cubic root of 3377197920 is about 1500.3255471187.

The spelling of 3377197920 in words is "three billion, three hundred seventy-seven million, one hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 997 1994 2991 3988 4985 5982 7057 7976 9970 11964 14114 14955 15952 19940 21171 23928 28228 29910 31904 35285 39880 42342 47856 56456 59820 70570 79760 84684 95712 105855 112912 119640 141140 159520 169368 211710 225824 239280 282280 338736 423420 478560 564560 677472 846840 1129120 1693680 3387360 7035829 14071658 21107487 28143316 35179145 42214974 56286632 70358290 84429948 105537435 112573264 140716580 168859896 211074870 225146528 281433160 337719792 422149740 562866320 675439584 844299480 1125732640 1688598960 3377197920