3664332000 has 768 divisors, whose sum is σ = 15775119360. Its totient is φ = 808704000.

The previous prime is 3664331999. The next prime is 3664332047. The reversal of 3664332000 is 2334663.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27971935 + ... + 27972065.

It is an arithmetic number, because the mean of its divisors is an integer number (20540520).

Almost surely, 2^3664332000 is an apocalyptic number.

3664332000 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 3664332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7887559680).

3664332000 is an abundant number, since it is smaller than the sum of its proper divisors (12110787360).

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

3664332000 is a wasteful number, since it uses less digits than its factorization.

3664332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 3664332000 is about 60533.7261367578. The cubic root of 3664332000 is about 1541.6943178224.

Adding to 3664332000 its reverse (2334663), we get a palindrome (3666666663).

The spelling of 3664332000 in words is "three billion, six hundred sixty-four million, three hundred thirty-two thousand".