3915320713920 has 672 divisors, whose sum is σ = 16922442940416. Its totient is φ = 807161241600.

The previous prime is 3915320713879. The next prime is 3915320713933. The reversal of 3915320713920 is 293170235193.

3915320713920 is a `hidden beast` number, since 3 + 9 + 1 + 53 + 207 + 1 + 392 + 0 = 666.

3915320713920 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 (672).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28094010 + ... + 28233030.

Almost surely, 2^{3915320713920} is an apocalyptic number.

3915320713920 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 3915320713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8461221470208).

3915320713920 is an abundant number, since it is smaller than the sum of its proper divisors (13007122226496).

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

3915320713920 is a wasteful number, since it uses less digits than its factorization.

3915320713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139189 (or 139176 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 3915320713920 in words is "three trillion, nine hundred fifteen billion, three hundred twenty million, seven hundred thirteen thousand, nine hundred twenty".