3664416000 has 864 divisors, whose sum is σ = 15267208320. Its totient is φ = 774144000.

The previous prime is 3664415987. The next prime is 3664416029. The reversal of 3664416000 is 6144663.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 89375980 + ... + 89376020.

It is an arithmetic number, because the mean of its divisors is an integer number (17670380).

Almost surely, 2^3664416000 is an apocalyptic number.

3664416000 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 3664416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7633604160).

3664416000 is an abundant number, since it is smaller than the sum of its proper divisors (11602792320).

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

3664416000 is a wasteful number, since it uses less digits than its factorization.

3664416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3664416000 is about 60534.4199608785. The cubic root of 3664416000 is about 1541.7060981717.

The spelling of 3664416000 in words is "three billion, six hundred sixty-four million, four hundred sixteen thousand".