3664200960 has 216 divisors, whose sum is σ = 14489180160. Its totient is φ = 837513216.

The previous prime is 3664200937. The next prime is 3664201039. The reversal of 3664200960 is 690024663.

3664200960 is a `hidden beast` number, since 3 + 6 + 642 + 0 + 0 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57921 + ... + 103359.

Almost surely, 2^3664200960 is an apocalyptic number.

3664200960 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 3664200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244590080).

3664200960 is an abundant number, since it is smaller than the sum of its proper divisors (10824979200).

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

3664200960 is a wasteful number, since it uses less digits than its factorization.

3664200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45473 (or 45456 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3664200960 is about 60532.6437552499. The cubic root of 3664200960 is about 1541.6759401179.

The spelling of 3664200960 in words is "three billion, six hundred sixty-four million, two hundred thousand, nine hundred sixty".