383760886813920 has 2304 divisors, whose sum is σ = 1692677251399680. Its totient is φ = 76870873497600.

The previous prime is 383760886813901. The next prime is 383760886814023. The reversal of 383760886813920 is 29318688067383.

It is a happy number.

383760886813920 is a `hidden beast` number, since 3 + 8 + 3 + 7 + 608 + 8 + 6 + 8 + 1 + 3 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 222728314179 + ... + 222728315901.

It is an arithmetic number, because the mean of its divisors is an integer number (734668945920).

Almost surely, 2^{383760886813920} is an apocalyptic number.

383760886813920 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 383760886813920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846338625699840).

383760886813920 is an abundant number, since it is smaller than the sum of its proper divisors (1308916364585760).

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

383760886813920 is a wasteful number, since it uses less digits than its factorization.

383760886813920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 383760886813920 in words is "three hundred eighty-three trillion, seven hundred sixty billion, eight hundred eighty-six million, eight hundred thirteen thousand, nine hundred twenty".