3488560860400 has 180 divisors, whose sum is σ = 10635969020040. Its totient is φ = 1087343577600.

The previous prime is 3488560860329. The next prime is 3488560860437. The reversal of 3488560860400 is 40680658843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7874755 + ... + 8305954.

It is an arithmetic number, because the mean of its divisors is an integer number (59088716778).

Almost surely, 2^{3488560860400} is an apocalyptic number.

It is an amenable number.

3488560860400 is an abundant number, since it is smaller than the sum of its proper divisors (7147408159640).

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

3488560860400 is a wasteful number, since it uses less digits than its factorization.

3488560860400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16180752 (or 16180734 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 52.

The spelling of 3488560860400 in words is "three trillion, four hundred eighty-eight billion, five hundred sixty million, eight hundred sixty thousand, four hundred".