380547072000 has 1280 divisors, whose sum is σ = 1504239010560. Its totient is φ = 95551488000.

The previous prime is 380547071903. The next prime is 380547072053. The reversal of 380547072000 is 270745083.

380547072000 is a `hidden beast` number, since 380 + 5 + 4 + 70 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

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, 10285055982 + ... + 10285056018.

It is an arithmetic number, because the mean of its divisors is an integer number (1175186727).

Almost surely, 2^380547072000 is an apocalyptic number.

380547072000 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 380547072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752119505280).

380547072000 is an abundant number, since it is smaller than the sum of its proper divisors (1123691938560).

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

380547072000 is an frugal number, since it uses more digits than its factorization.

380547072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 380547072000 in words is "three hundred eighty billion, five hundred forty-seven million, seventy-two thousand".