3690365952 has 352 divisors, whose sum is σ = 12427942912. Its totient is φ = 947552256.

The previous prime is 3690365941. The next prime is 3690365957. The reversal of 3690365952 is 2595630963.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3690365957) 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, 12020583 + ... + 12020889.

It is an arithmetic number, because the mean of its divisors is an integer number (35306656).

Almost surely, 2^3690365952 is an apocalyptic number.

3690365952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3690365952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213971456).

3690365952 is an abundant number, since it is smaller than the sum of its proper divisors (8737576960).

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

3690365952 is a wasteful number, since it uses less digits than its factorization.

3690365952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 48.

The square root of 3690365952 is about 60748.3822994489. The cubic root of 3690365952 is about 1545.3367931792.

The spelling of 3690365952 in words is "three billion, six hundred ninety million, three hundred sixty-five thousand, nine hundred fifty-two".