3765872664 has 96 divisors (see below), whose sum is σ = 10348884000. Its totient is φ = 1236973056.

The previous prime is 3765872659. The next prime is 3765872683. The reversal of 3765872664 is 4662785673.

3765872664 is a `hidden beast` number, since 37 + 6 + 587 + 26 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3765872664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2299654 + ... + 2301290.

It is an arithmetic number, because the mean of its divisors is an integer number (107800875).

Almost surely, 2^3765872664 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 3765872664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174442000).

3765872664 is an abundant number, since it is smaller than the sum of its proper divisors (6583011336).

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

3765872664 is a wasteful number, since it uses less digits than its factorization.

3765872664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2090 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The square root of 3765872664 is about 61366.7064783503. The cubic root of 3765872664 is about 1555.8051700822.

The spelling of 3765872664 in words is "three billion, seven hundred sixty-five million, eight hundred seventy-two thousand, six hundred sixty-four".