3921644160 has 640 divisors, whose sum is σ = 16315136640. Its totient is φ = 879206400.

The previous prime is 3921644123. The next prime is 3921644173. The reversal of 3921644160 is 614461293.

3921644160 is a `hidden beast` number, since 3 + 9 + 2 + 1 + 644 + 1 + 6 + 0 = 666.

3921644160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36650827 + ... + 36650933.

It is an arithmetic number, because the mean of its divisors is an integer number (25492401).

Almost surely, 2^3921644160 is an apocalyptic number.

3921644160 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 3921644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157568320).

3921644160 is an abundant number, since it is smaller than the sum of its proper divisors (12393492480).

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

3921644160 is a wasteful number, since it uses less digits than its factorization.

3921644160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3921644160 is about 62623.0321846523. The cubic root of 3921644160 is about 1576.9674460598.

The spelling of 3921644160 in words is "three billion, nine hundred twenty-one million, six hundred forty-four thousand, one hundred sixty".