3924740137680 has 80 divisors (see below), whose sum is σ = 13518549370560. Its totient is φ = 1046597369472.

The previous prime is 3924740137663. The next prime is 3924740137687. The reversal of 3924740137680 is 867310474293.

3924740137680 is a `hidden beast` number, since 3 + 92 + 4 + 7 + 401 + 3 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3924740137687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 908502502 + ... + 908506821.

It is an arithmetic number, because the mean of its divisors is an integer number (168981867132).

Almost surely, 2^{3924740137680} is an apocalyptic number.

3924740137680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3924740137680 is an abundant number, since it is smaller than the sum of its proper divisors (9593809232880).

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

3924740137680 is a wasteful number, since it uses less digits than its factorization.

3924740137680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817009345 (or 1817009333 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 3924740137680 in words is "three trillion, nine hundred twenty-four billion, seven hundred forty million, one hundred thirty-seven thousand, six hundred eighty".