3640433664 has 352 divisors, whose sum is σ = 11805392896. Its totient is φ = 975421440.

The previous prime is 3640433617. The next prime is 3640433683. The reversal of 3640433664 is 4663340463.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28664769 + ... + 28664895.

It is an arithmetic number, because the mean of its divisors is an integer number (33538048).

Almost surely, 2^3640433664 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 3640433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902696448).

3640433664 is an abundant number, since it is smaller than the sum of its proper divisors (8164959232).

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

3640433664 is a wasteful number, since it uses less digits than its factorization.

3640433664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 39.

The square root of 3640433664 is about 60336.0063643593. The cubic root of 3640433664 is about 1538.3354229830.

The spelling of 3640433664 in words is "three billion, six hundred forty million, four hundred thirty-three thousand, six hundred sixty-four".