3924634680 has 384 divisors, whose sum is σ = 14152320000. Its totient is φ = 975297024.

The previous prime is 3924634673. The next prime is 3924634709. The reversal of 3924634680 is 864364293.

3924634680 is a `hidden beast` number, since 3 + 9 + 2 + 4 + 634 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14589586 + ... + 14589854.

It is an arithmetic number, because the mean of its divisors is an integer number (36855000).

Almost surely, 2^3924634680 is an apocalyptic number.

3924634680 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 3924634680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160000).

3924634680 is an abundant number, since it is smaller than the sum of its proper divisors (10227685320).

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

3924634680 is a wasteful number, since it uses less digits than its factorization.

3924634680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3924634680 is about 62646.9047918570. The cubic root of 3924634680 is about 1577.3681924693.

The spelling of 3924634680 in words is "three billion, nine hundred twenty-four million, six hundred thirty-four thousand, six hundred eighty".