381635072 has 80 divisors (see below), whose sum is σ = 938606592. Its totient is φ = 150958080.

The previous prime is 381635053. The next prime is 381635101. The reversal of 381635072 is 270536183.

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 7 ways as a sum of consecutive naturals, for example, 42497 + ... + 50687.

Almost surely, 2^381635072 is an apocalyptic number.

381635072 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 381635072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469303296).

381635072 is an abundant number, since it is smaller than the sum of its proper divisors (556971520).

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

381635072 is an equidigital number, since it uses as much as digits as its factorization.

381635072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8229 (or 8213 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 381635072 is about 19535.4823846252. The cubic root of 381635072 is about 725.3530247442.

The spelling of 381635072 in words is "three hundred eighty-one million, six hundred thirty-five thousand, seventy-two".