380547072 has 260 divisors, whose sum is σ = 1205190976. Its totient is φ = 119439360.

The previous prime is 380547031. The next prime is 380547161. The reversal of 380547072 is 270745083.

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10285038 + ... + 10285074.

Almost surely, 2^380547072 is an apocalyptic number.

380547072 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 380547072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602595488).

380547072 is an abundant number, since it is smaller than the sum of its proper divisors (824643904).

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

380547072 is an equidigital number, since it uses as much as digits as its factorization.

380547072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 73 counting only the distinct ones).

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

The square root of 380547072 is about 19507.6157436013. The cubic root of 380547072 is about 724.6630678558.

The spelling of 380547072 in words is "three hundred eighty million, five hundred forty-seven thousand, seventy-two".