3664985600 has 240 divisors, whose sum is σ = 9681344640. Its totient is φ = 1371955200.

The previous prime is 3664985593. The next prime is 3664985603. The reversal of 3664985600 is 65894663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3664985603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17369495 + ... + 17369705.

It is an arithmetic number, because the mean of its divisors is an integer number (40338936).

Almost surely, 2^3664985600 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 3664985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840672320).

3664985600 is an abundant number, since it is smaller than the sum of its proper divisors (6016359040).

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

3664985600 is a wasteful number, since it uses less digits than its factorization.

3664985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 47.

The square root of 3664985600 is about 60539.1245394249. The cubic root of 3664985600 is about 1541.7859754106.

The spelling of 3664985600 in words is "three billion, six hundred sixty-four million, nine hundred eighty-five thousand, six hundred".