3873507264 has 224 divisors, whose sum is σ = 12852806400. Its totient is φ = 1133153280.

The previous prime is 3873507251. The next prime is 3873507269. The reversal of 3873507264 is 4627053783.

3873507264 is a `hidden beast` number, since 3 + 87 + 3 + 507 + 2 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3873507269) 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, 547719 + ... + 554745.

It is an arithmetic number, because the mean of its divisors is an integer number (57378600).

Almost surely, 2^3873507264 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 3873507264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426403200).

3873507264 is an abundant number, since it is smaller than the sum of its proper divisors (8979299136).

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

3873507264 is a wasteful number, since it uses less digits than its factorization.

3873507264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7088 (or 7072 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3873507264 is about 62237.5068909416. The cubic root of 3873507264 is about 1570.4886120343.

The spelling of 3873507264 in words is "three billion, eight hundred seventy-three million, five hundred seven thousand, two hundred sixty-four".