381852072 has 96 divisors (see below), whose sum is σ = 1233348480. Its totient is φ = 104353920.

The previous prime is 381852059. The next prime is 381852137. The reversal of 381852072 is 270258183.

It is a super-2 number, since 2×381852072² = 291622009781386368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4879 + ... + 28062.

It is an arithmetic number, because the mean of its divisors is an integer number (12847380).

Almost surely, 2^381852072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381852072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616674240).

381852072 is an abundant number, since it is smaller than the sum of its proper divisors (851496408).

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

381852072 is a wasteful number, since it uses less digits than its factorization.

381852072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32983 (or 32976 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 381852072 is about 19541.0355918001. The cubic root of 381852072 is about 725.4904787276.

The spelling of 381852072 in words is "three hundred eighty-one million, eight hundred fifty-two thousand, seventy-two".