3953664000 has 896 divisors, whose sum is σ = 17174626560. Its totient is φ = 884736000.

The previous prime is 3953663993. The next prime is 3953664049. The reversal of 3953664000 is 4663593.

3953664000 is a `hidden beast` number, since 3 + 9 + 5 + 3 + 6 + 640 + 0 + 0 = 666.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304127994 + ... + 304128006.

It is an arithmetic number, because the mean of its divisors is an integer number (19168110).

Almost surely, 2^3953664000 is an apocalyptic number.

3953664000 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 3953664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8587313280).

3953664000 is an abundant number, since it is smaller than the sum of its proper divisors (13220962560).

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

3953664000 is a wasteful number, since it uses less digits than its factorization.

3953664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3953664000 is about 62878.1679122412. The cubic root of 3953664000 is about 1581.2477458867.

The spelling of 3953664000 in words is "three billion, nine hundred fifty-three million, six hundred sixty-four thousand".