380136508920 has 960 divisors, whose sum is σ = 1595242123200. Its totient is φ = 79427174400.

The previous prime is 380136508811. The next prime is 380136508931. The reversal of 380136508920 is 29805631083.

It is a happy number.

380136508920 is a `hidden beast` number, since 3 + 8 + 0 + 136 + 508 + 9 + 2 + 0 = 666.

380136508920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 237436120 + ... + 237437720.

It is an arithmetic number, because the mean of its divisors is an integer number (1661710545).

Almost surely, 2^380136508920 is an apocalyptic number.

380136508920 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 380136508920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797621061600).

380136508920 is an abundant number, since it is smaller than the sum of its proper divisors (1215105614280).

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

380136508920 is a wasteful number, since it uses less digits than its factorization.

380136508920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 380136508920 in words is "three hundred eighty billion, one hundred thirty-six million, five hundred eight thousand, nine hundred twenty".