3664059600 has 180 divisors, whose sum is σ = 11973844736. Its totient is φ = 957765120.

The previous prime is 3664059593. The next prime is 3664059613. The reversal of 3664059600 is 69504663.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3370257 + ... + 3371343.

Almost surely, 2^3664059600 is an apocalyptic number.

3664059600 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 3664059600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5986922368).

3664059600 is an abundant number, since it is smaller than the sum of its proper divisors (8309785136).

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

3664059600 is a wasteful number, since it uses less digits than its factorization.

3664059600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 3664059600 is about 60531.4761095416. The cubic root of 3664059600 is about 1541.6561145938.

The spelling of 3664059600 in words is "three billion, six hundred sixty-four million, fifty-nine thousand, six hundred".