3924056160 has 288 divisors, whose sum is σ = 13837824000. Its totient is φ = 1011999744.

The previous prime is 3924056131. The next prime is 3924056173. The reversal of 3924056160 is 616504293.

It is a happy number.

3924056160 is a `hidden beast` number, since 3 + 92 + 4 + 0 + 561 + 6 + 0 = 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 (36).

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, 7863591 + ... + 7864089.

It is an arithmetic number, because the mean of its divisors is an integer number (48048000).

Almost surely, 2^3924056160 is an apocalyptic number.

3924056160 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 3924056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918912000).

3924056160 is an abundant number, since it is smaller than the sum of its proper divisors (9913767840).

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

3924056160 is a wasteful number, since it uses less digits than its factorization.

3924056160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3924056160 is about 62642.2873145609. The cubic root of 3924056160 is about 1577.2906834387.

The spelling of 3924056160 in words is "three billion, nine hundred twenty-four million, fifty-six thousand, one hundred sixty".