3924187375680 has 1344 divisors, whose sum is σ = 16227758776320. Its totient is φ = 857873203200.

The previous prime is 3924187375609. The next prime is 3924187375741. The reversal of 3924187375680 is 865737814293.

3924187375680 is a `hidden beast` number, since 3 + 9 + 2 + 4 + 187 + 375 + 6 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3351141495 + ... + 3351142665.

It is an arithmetic number, because the mean of its divisors is an integer number (12074225280).

It is a 1-persistent number, because it is pandigital, but 2⋅3924187375680 = 7848374751360 is not.

Almost surely, 2^{3924187375680} is an apocalyptic number.

3924187375680 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 3924187375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8113879388160).

3924187375680 is an abundant number, since it is smaller than the sum of its proper divisors (12303571400640).

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

3924187375680 is a wasteful number, since it uses less digits than its factorization.

3924187375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 3924187375680 in words is "three trillion, nine hundred twenty-four billion, one hundred eighty-seven million, three hundred seventy-five thousand, six hundred eighty".