3964752000 has 384 divisors, whose sum is σ = 15539022720. Its totient is φ = 960768000.

The previous prime is 3964751993. The next prime is 3964752031. The reversal of 3964752000 is 2574693.

3964752000 is a `hidden beast` number, since 3 + 9 + 647 + 5 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1582749 + ... + 1585251.

It is an arithmetic number, because the mean of its divisors is an integer number (40466205).

Almost surely, 2^3964752000 is an apocalyptic number.

3964752000 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 3964752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7769511360).

3964752000 is an abundant number, since it is smaller than the sum of its proper divisors (11574270720).

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

3964752000 is a wasteful number, since it uses less digits than its factorization.

3964752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3964752000 is about 62966.2766883988. The cubic root of 3964752000 is about 1582.7245625184.

The spelling of 3964752000 in words is "three billion, nine hundred sixty-four million, seven hundred fifty-two thousand".