380807136 has 96 divisors (see below), whose sum is σ = 1159038720. Its totient is φ = 121410432.

The previous prime is 380807117. The next prime is 380807137. The reversal of 380807136 is 631708083.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 380807136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380807137) 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, 10291 + ... + 29453.

It is an arithmetic number, because the mean of its divisors is an integer number (12073320).

Almost surely, 2^380807136 is an apocalyptic number.

380807136 is a gapful number since it is divisible by the number (36) 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 380807136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579519360).

380807136 is an abundant number, since it is smaller than the sum of its proper divisors (778231584).

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

380807136 is a wasteful number, since it uses less digits than its factorization.

380807136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19205 (or 19191 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 380807136 is about 19514.2803095579. The cubic root of 380807136 is about 724.8281073263.

The spelling of 380807136 in words is "three hundred eighty million, eight hundred seven thousand, one hundred thirty-six".