3688312320 has 1080 divisors, whose sum is σ = 16937712792. Its totient is φ = 766402560.

The previous prime is 3688312301. The next prime is 3688312337. The reversal of 3688312320 is 232138863.

3688312320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 335301115 + ... + 335301125.

Almost surely, 2^3688312320 is an apocalyptic number.

3688312320 is a gapful number since it is divisible by the number (30) 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 3688312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8468856396).

3688312320 is an abundant number, since it is smaller than the sum of its proper divisors (13249400472).

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

3688312320 is an equidigital number, since it uses as much as digits as its factorization.

3688312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3688312320 is about 60731.4771761728. The cubic root of 3688312320 is about 1545.0500879228.

The spelling of 3688312320 in words is "three billion, six hundred eighty-eight million, three hundred twelve thousand, three hundred twenty".