380634207120 has 60 divisors (see below), whose sum is σ = 1278296547996. Its totient is φ = 101502455040.

The previous prime is 380634207089. The next prime is 380634207139. The reversal of 380634207120 is 21702436083.

It is a happy number.

380634207120 is a `hidden beast` number, since 3 + 8 + 0 + 634 + 2 + 0 + 7 + 12 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 286387663104 + 94246544016 = 535152^2 + 306996^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264328591 + ... + 264330030.

Almost surely, 2^380634207120 is an apocalyptic number.

380634207120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380634207120 is an abundant number, since it is smaller than the sum of its proper divisors (897662340876).

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

380634207120 is a wasteful number, since it uses less digits than its factorization.

380634207120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528658640 (or 528658631 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 380634207120 in words is "three hundred eighty billion, six hundred thirty-four million, two hundred seven thousand, one hundred twenty".