3285638290368 has 168 divisors, whose sum is σ = 11329550843520. Its totient is φ = 889345681920.

The previous prime is 3285638290351. The next prime is 3285638290379. The reversal of 3285638290368 is 8630928365823.

3285638290368 is a `hidden beast` number, since 3 + 2 + 8 + 563 + 8 + 2 + 9 + 0 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21367878 + ... + 21521093.

It is an arithmetic number, because the mean of its divisors is an integer number (67437802640).

Almost surely, 2^{3285638290368} is an apocalyptic number.

3285638290368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3285638290368 is an abundant number, since it is smaller than the sum of its proper divisors (8043912553152).

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

3285638290368 is a wasteful number, since it uses less digits than its factorization.

3285638290368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42889015 (or 42889002 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 3285638290368 in words is "three trillion, two hundred eighty-five billion, six hundred thirty-eight million, two hundred ninety thousand, three hundred sixty-eight".