3687790864 has 40 divisors (see below), whose sum is σ = 7542920000. Its totient is φ = 1741792896.

The previous prime is 3687790853. The next prime is 3687790867. The reversal of 3687790864 is 4680977863.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3687790799 and 3687790808.

It is not an unprimeable number, because it can be changed into a prime (3687790867) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 88717 + ... + 123475.

It is an arithmetic number, because the mean of its divisors is an integer number (188573000).

Almost surely, 2^3687790864 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 3687790864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771460000).

3687790864 is an abundant number, since it is smaller than the sum of its proper divisors (3855129136).

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

3687790864 is a wasteful number, since it uses less digits than its factorization.

3687790864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35135 (or 35129 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 58.

The square root of 3687790864 is about 60727.1838965055. The cubic root of 3687790864 is about 1544.9772710949.

The spelling of 3687790864 in words is "three billion, six hundred eighty-seven million, seven hundred ninety thousand, eight hundred sixty-four".