3152667264 has 256 divisors, whose sum is σ = 9306316800. Its totient is φ = 941690880.

The previous prime is 3152667263. The next prime is 3152667307. The reversal of 3152667264 is 4627662513.

3152667264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3152667263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11987197 + ... + 11987459.

It is an arithmetic number, because the mean of its divisors is an integer number (36352800).

Almost surely, 2^3152667264 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 3152667264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653158400).

3152667264 is an abundant number, since it is smaller than the sum of its proper divisors (6153649536).

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

3152667264 is a wasteful number, since it uses less digits than its factorization.

3152667264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 371 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 3152667264 is about 56148.6176499475. The cubic root of 3152667264 is about 1466.3108418721.

It can be divided in two parts, 31526 and 67264, that added together give a triangular number (98790 = T₄₄₄).

The spelling of 3152667264 in words is "three billion, one hundred fifty-two million, six hundred sixty-seven thousand, two hundred sixty-four".