380129283072 has 880 divisors, whose sum is σ = 1443226574592. Its totient is φ = 96785694720.

The previous prime is 380129283067. The next prime is 380129283091. The reversal of 380129283072 is 270382921083.

380129283072 is a `hidden beast` number, since 380 + 129 + 2 + 83 + 0 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 338493903 + ... + 338495025.

Almost surely, 2^380129283072 is an apocalyptic number.

380129283072 is a gapful number since it is divisible by the number (32) 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 380129283072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721613287296).

380129283072 is an abundant number, since it is smaller than the sum of its proper divisors (1063097291520).

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

380129283072 is a wasteful number, since it uses less digits than its factorization.

380129283072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 380129283072 in words is "three hundred eighty billion, one hundred twenty-nine million, two hundred eighty-three thousand, seventy-two".