3973515264 has 240 divisors, whose sum is σ = 12575663100. Its totient is φ = 1245708288.

The previous prime is 3973515251. The next prime is 3973515269. The reversal of 3973515264 is 4625153793.

3973515264 is a `hidden beast` number, since 3 + 9 + 73 + 51 + 526 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3834086400 + 139428864 = 61920^2 + 11808^2 .

It is not an unprimeable number, because it can be changed into a prime (3973515269) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2819392 + ... + 2820800.

Almost surely, 2^3973515264 is an apocalyptic number.

3973515264 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 3973515264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6287831550).

3973515264 is an abundant number, since it is smaller than the sum of its proper divisors (8602147836).

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

3973515264 is a wasteful number, since it uses less digits than its factorization.

3973515264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1431 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 3973515264 is about 63035.8252424762. The cubic root of 3973515264 is about 1583.8897994960.

The spelling of 3973515264 in words is "three billion, nine hundred seventy-three million, five hundred fifteen thousand, two hundred sixty-four".