3206724400768 has 64 divisors (see below), whose sum is σ = 7730496360000. Its totient is φ = 1293468659712.

The previous prime is 3206724400729. The next prime is 3206724400771. The reversal of 3206724400768 is 8670044276023.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105247518 + ... + 105277981.

It is an arithmetic number, because the mean of its divisors is an integer number (120789005625).

Almost surely, 2^{3206724400768} is an apocalyptic number.

It is an amenable number.

3206724400768 is an abundant number, since it is smaller than the sum of its proper divisors (4523771959232).

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

3206724400768 is a wasteful number, since it uses less digits than its factorization.

3206724400768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210525537 (or 210525525 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 49.

The spelling of 3206724400768 in words is "three trillion, two hundred six billion, seven hundred twenty-four million, four hundred thousand, seven hundred sixty-eight".