3880293264 has 135 divisors (see below), whose sum is σ = 11309989873. Its totient is φ = 1241853312.

The previous prime is 3880293253. The next prime is 3880293301. The reversal of 3880293264 is 4623920883.

The square root of 3880293264 is 62292.

It is a perfect power (a square), and thus also a powerful number.

3880293264 is a `hidden beast` number, since 388 + 0 + 2 + 9 + 3 + 264 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2034731664 + 1845561600 = 45108^2 + 42960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21677527 + ... + 21677705.

Almost surely, 2^3880293264 is an apocalyptic number.

3880293264 is the 62292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3880293264

3880293264 is an abundant number, since it is smaller than the sum of its proper divisors (7429696609).

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

3880293264 is a wasteful number, since it uses less digits than its factorization.

3880293264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The cubic root of 3880293264 is about 1571.4051903455.

The spelling of 3880293264 in words is "three billion, eight hundred eighty million, two hundred ninety-three thousand, two hundred sixty-four".