3817565664 has 192 divisors, whose sum is σ = 11252183040. Its totient is φ = 1123499520.

The previous prime is 3817565657. The next prime is 3817565681. The reversal of 3817565664 is 4665657183.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 5589067 + ... + 5589749.

It is an arithmetic number, because the mean of its divisors is an integer number (58605120).

Almost surely, 2^3817565664 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 3817565664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626091520).

3817565664 is an abundant number, since it is smaller than the sum of its proper divisors (7434617376).

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

3817565664 is a wasteful number, since it uses less digits than its factorization.

3817565664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 845 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 51.

The square root of 3817565664 is about 61786.4521072379. The cubic root of 3817565664 is about 1562.8915338721.

The spelling of 3817565664 in words is "three billion, eight hundred seventeen million, five hundred sixty-five thousand, six hundred sixty-four".