3937813504 has 99 divisors (see below), whose sum is σ = 8245809327. Its totient is φ = 1879547904.

The previous prime is 3937813501. The next prime is 3937813511. The reversal of 3937813504 is 4053187393.

It is a happy number.

The square root of 3937813504 is 62752.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1571963904 + 2365849600 = 39648^2 + 48640^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3937813501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 74298342 + ... + 74298394.

Almost surely, 2^3937813504 is an apocalyptic number.

3937813504 is the 62752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3937813504

3937813504 is an abundant number, since it is smaller than the sum of its proper divisors (4307995823).

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

3937813504 is an frugal number, since it uses more digits than its factorization.

3937813504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The cubic root of 3937813504 is about 1579.1318073812.

The spelling of 3937813504 in words is "three billion, nine hundred thirty-seven million, eight hundred thirteen thousand, five hundred four".