3664233600 has 192 divisors, whose sum is σ = 12704916000. Its totient is φ = 925655040.

The previous prime is 3664233589. The next prime is 3664233631. The reversal of 3664233600 is 63324663.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172356 + ... + 192444.

Almost surely, 2^3664233600 is an apocalyptic number.

3664233600 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 3664233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352458000).

3664233600 is an abundant number, since it is smaller than the sum of its proper divisors (9040682400).

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

3664233600 is a wasteful number, since it uses less digits than its factorization.

3664233600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20135 (or 20118 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

The square root of 3664233600 is about 60532.9133612451. The cubic root of 3664233600 is about 1541.6805177556.

The spelling of 3664233600 in words is "three billion, six hundred sixty-four million, two hundred thirty-three thousand, six hundred".