380629177152 has 112 divisors (see below), whose sum is σ = 1151176199040. Its totient is φ = 108729833472.

The previous prime is 380629177151. The next prime is 380629177163. The reversal of 380629177152 is 251771926083.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×380629177152² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 380629177095 and 380629177104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380629177151) 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, 7594158 + ... + 7644114.

It is an arithmetic number, because the mean of its divisors is an integer number (10278358920).

Almost surely, 2^380629177152 is an apocalyptic number.

380629177152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

380629177152 is an abundant number, since it is smaller than the sum of its proper divisors (770547021888).

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

380629177152 is a wasteful number, since it uses less digits than its factorization.

380629177152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55648 (or 55638 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 380629177152 in words is "three hundred eighty billion, six hundred twenty-nine million, one hundred seventy-seven thousand, one hundred fifty-two".