3251967264 has 480 divisors, whose sum is σ = 12478790016. Its totient is φ = 806215680.

The previous prime is 3251967241. The next prime is 3251967289. The reversal of 3251967264 is 4627691523.

3251967264 is a `hidden beast` number, since 3 + 2 + 519 + 6 + 72 + 64 = 666.

It is a super-2 number, since 2×3251967264² = 21150582172255291392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4009419 + ... + 4010229.

Almost surely, 2^3251967264 is an apocalyptic number.

3251967264 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 3251967264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239395008).

3251967264 is an abundant number, since it is smaller than the sum of its proper divisors (9226822752).

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

3251967264 is a wasteful number, since it uses less digits than its factorization.

3251967264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 853 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 3251967264 is about 57026.0226913994. The cubic root of 3251967264 is about 1481.5468463236.

The spelling of 3251967264 in words is "three billion, two hundred fifty-one million, nine hundred sixty-seven thousand, two hundred sixty-four".