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3379739648 = 210612887
BaseRepresentation
bin1100100101110010…
…1011110000000000
322201112120120012112
43021130223300000
523410203132043
61315211314452
7146516212235
oct31134536000
98645516175
103379739648
11148485846a
127a3a4ba28
1341b28105c
14240c1578c
1514baa4518
hexc972bc00

3379739648 has 66 divisors (see below), whose sum is σ = 6876495288. Its totient is φ = 1660293120.

The previous prime is 3379739647. The next prime is 3379739651. The reversal of 3379739648 is 8469379733.

It is a super-2 number, since 2×33797396482 = 22845280176526327808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3379739641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3809861 + ... + 3810747.

Almost surely, 23379739648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3379739648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438247644).

3379739648 is an abundant number, since it is smaller than the sum of its proper divisors (3496755640).

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

3379739648 is an frugal number, since it uses more digits than its factorization.

3379739648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 950 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 59.

The square root of 3379739648 is about 58135.5282766055. The cubic root of 3379739648 is about 1500.7018416351.

The spelling of 3379739648 in words is "three billion, three hundred seventy-nine million, seven hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 887 976 1024 1774 1952 3548 3721 3904 7096 7442 7808 14192 14884 15616 28384 29768 31232 54107 56768 59536 62464 108214 113536 119072 216428 227072 238144 432856 454144 476288 865712 908288 952576 1731424 1905152 3300527 3462848 3810304 6601054 6925696 13202108 13851392 26404216 27702784 52808432 55405568 105616864 211233728 422467456 844934912 1689869824 3379739648