3251457969264 has 160 divisors (see below), whose sum is σ = 9676028313600. Its totient is φ = 1044276261120.

The previous prime is 3251457969241. The next prime is 3251457969301. The reversal of 3251457969264 is 4629697541523.

It is a happy number.

3251457969264 is a `hidden beast` number, since 3 + 2 + 5 + 1 + 457 + 96 + 92 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2536657 + ... + 3596879.

It is an arithmetic number, because the mean of its divisors is an integer number (60475176960).

Almost surely, 2^{3251457969264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3251457969264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838014156800).

3251457969264 is an abundant number, since it is smaller than the sum of its proper divisors (6424570344336).

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

3251457969264 is a wasteful number, since it uses less digits than its factorization.

3251457969264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060500 (or 1060488 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 3251457969264 in words is "three trillion, two hundred fifty-one billion, four hundred fifty-seven million, nine hundred sixty-nine thousand, two hundred sixty-four".