3351007820664 has 96 divisors (see below), whose sum is σ = 10729828044000. Its totient is φ = 924415946496.

The previous prime is 3351007820659. The next prime is 3351007820759. The reversal of 3351007820664 is 4660287001533.

3351007820664 is a `hidden beast` number, since 3 + 3 + 510 + 0 + 78 + 2 + 0 + 6 + 64 = 666.

It is a super-2 number, since 2×3351007820664² (a number of 26 digits) contains 22 as substring.

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, 114620299 + ... + 114649530.

It is an arithmetic number, because the mean of its divisors is an integer number (111769042125).

Almost surely, 2^{3351007820664} is an apocalyptic number.

It is an amenable number.

3351007820664 is an abundant number, since it is smaller than the sum of its proper divisors (7378820223336).

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

3351007820664 is a wasteful number, since it uses less digits than its factorization.

3351007820664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229269877 (or 229269870 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3351007820664 in words is "three trillion, three hundred fifty-one billion, seven million, eight hundred twenty thousand, six hundred sixty-four".