3874813504 has 63 divisors (see below), whose sum is σ = 7976899083. Its totient is φ = 1867440000.

The previous prime is 3874813489. The next prime is 3874813529. The reversal of 3874813504 is 4053184783.

The square root of 3874813504 is 62248.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15437379 + ... + 15437629.

Almost surely, 2^3874813504 is an apocalyptic number.

3874813504 is the 62248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3874813504

3874813504 is an abundant number, since it is smaller than the sum of its proper divisors (4102085579).

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

3874813504 is an frugal number, since it uses more digits than its factorization.

3874813504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The cubic root of 3874813504 is about 1570.6651277301.

The spelling of 3874813504 in words is "three billion, eight hundred seventy-four million, eight hundred thirteen thousand, five hundred four".