3664607296 has 189 divisors, whose sum is σ = 9035147919. Its totient is φ = 1470298368.

The previous prime is 3664607293. The next prime is 3664607299. The reversal of 3664607296 is 6927064663.

The square root of 3664607296 is 60536.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (3664607293) and next prime (3664607299).

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (3664607291) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77970345 + ... + 77970391.

Almost surely, 2^3664607296 is an apocalyptic number.

3664607296 is the 60536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3664607296

3664607296 is an abundant number, since it is smaller than the sum of its proper divisors (5370540623).

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

3664607296 is an equidigital number, since it uses as much as digits as its factorization.

3664607296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 49.

The cubic root of 3664607296 is about 1541.7329252821.

Multiplying 3664607296 by its sum of digits (49), we get a square (179565757504 = 423752²).

3664607296 divided by its sum of digits (49) gives a square (74787904 = 8648²).

The spelling of 3664607296 in words is "three billion, six hundred sixty-four million, six hundred seven thousand, two hundred ninety-six".