3301789860864 has 528 divisors, whose sum is σ = 11029216348800. Its totient is φ = 940246302720.

The previous prime is 3301789860829. The next prime is 3301789860871. The reversal of 3301789860864 is 4680689871033.

3301789860864 is a `hidden beast` number, since 3 + 3 + 0 + 17 + 8 + 9 + 8 + 608 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1694093362 + ... + 1694095310.

Almost surely, 2^{3301789860864} is an apocalyptic number.

3301789860864 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 3301789860864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514608174400).

3301789860864 is an abundant number, since it is smaller than the sum of its proper divisors (7727426487936).

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

3301789860864 is a wasteful number, since it uses less digits than its factorization.

3301789860864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 3301789860864 in words is "three trillion, three hundred one billion, seven hundred eighty-nine million, eight hundred sixty thousand, eight hundred sixty-four".