3964974624 has 288 divisors, whose sum is σ = 12818804544. Its totient is φ = 1198126080.

The previous prime is 3964974593. The next prime is 3964974641. The reversal of 3964974624 is 4264794693.

3964974624 is a `hidden beast` number, since 3 + 9 + 6 + 4 + 9 + 7 + 4 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6166047 + ... + 6166689.

It is an arithmetic number, because the mean of its divisors is an integer number (44509738).

Almost surely, 2^3964974624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3964974624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6409402272).

3964974624 is an abundant number, since it is smaller than the sum of its proper divisors (8853829920).

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

3964974624 is a wasteful number, since it uses less digits than its factorization.

3964974624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 722 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 3964974624 is about 62968.0444670152. The cubic root of 3964974624 is about 1582.7541857145.

The spelling of 3964974624 in words is "three billion, nine hundred sixty-four million, nine hundred seventy-four thousand, six hundred twenty-four".