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3678960684 = 2237173138231
BaseRepresentation
bin1101101101001000…
…0111110000101100
3100111101121120022010
43123102013300230
530013303220214
61405020521220
7160111435620
oct33322076054
910441546263
103678960684
11161874a683
128680b0210
13468268419
1426c865180
15167eac659
hexdb487c2c

3678960684 has 96 divisors (see below), whose sum is σ = 10422107136. Its totient is φ = 986019840.

The previous prime is 3678960679. The next prime is 3678960689. The reversal of 3678960684 is 4860698763.

It is a happy number.

3678960684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3678960679) and next prime (3678960689).

It is a super-5 number, since 5×36789606845 (a number of 49 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (3678960689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442849 + ... + 451079.

It is an arithmetic number, because the mean of its divisors is an integer number (108563616).

Almost surely, 23678960684 is an apocalyptic number.

3678960684 is a gapful number since it is divisible by the number (34) 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 3678960684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211053568).

3678960684 is an abundant number, since it is smaller than the sum of its proper divisors (6743146452).

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

3678960684 is a wasteful number, since it uses less digits than its factorization.

3678960684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8575 (or 8573 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The square root of 3678960684 is about 60654.4366390456. The cubic root of 3678960684 is about 1543.7431690672.

The spelling of 3678960684 in words is "three billion, six hundred seventy-eight million, nine hundred sixty thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 313 357 476 626 714 939 1252 1428 1878 2191 3756 4382 5321 6573 8231 8764 10642 13146 15963 16462 21284 24693 26292 31926 32924 37247 49386 57617 63852 74494 98772 111741 115234 139927 148988 172851 223482 230468 279854 345702 419781 446964 559708 691404 839562 979489 1679124 1958978 2576303 2938467 3917956 5152606 5876934 7728909 10305212 11753868 15457818 18034121 30915636 36068242 43797151 54102363 72136484 87594302 108204726 131391453 175188604 216409452 262782906 306580057 525565812 613160114 919740171 1226320228 1839480342 3678960684