380627280000 has 1440 divisors, whose sum is σ = 1599110292780. Its totient is φ = 86507520000.

The previous prime is 380627279999. The next prime is 380627280013. The reversal of 380627280000 is 82726083.

It is a happy number.

380627280000 is a `hidden beast` number, since 3 + 8 + 0 + 627 + 28 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 14176236096 + 366451043904 = 119064^2 + 605352^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1481039872 + ... + 1481040128.

Almost surely, 2^380627280000 is an apocalyptic number.

380627280000 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 380627280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799555146390).

380627280000 is an abundant number, since it is smaller than the sum of its proper divisors (1218483012780).

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

380627280000 is a wasteful number, since it uses less digits than its factorization.

380627280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 380627280000 in words is "three hundred eighty billion, six hundred twenty-seven million, two hundred eighty thousand".