3359829628656 has 120 divisors (see below), whose sum is σ = 9921920804640. Its totient is φ = 1059213416448.

The previous prime is 3359829628651. The next prime is 3359829628667. The reversal of 3359829628656 is 6568269289533.

3359829628656 is a `hidden beast` number, since 3 + 3 + 5 + 9 + 8 + 296 + 286 + 56 = 666.

3359829628656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3359829628656² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3359829628651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5404341 + ... + 5993876.

It is an arithmetic number, because the mean of its divisors is an integer number (82682673372).

Almost surely, 2^{3359829628656} is an apocalyptic number.

3359829628656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3359829628656 is an abundant number, since it is smaller than the sum of its proper divisors (6562091175984).

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

3359829628656 is a wasteful number, since it uses less digits than its factorization.

3359829628656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11398343 (or 11398334 counting only the distinct ones).

The product of its digits is 1007769600, while the sum is 72.

The spelling of 3359829628656 in words is "three trillion, three hundred fifty-nine billion, eight hundred twenty-nine million, six hundred twenty-eight thousand, six hundred fifty-six".