381607872 has 56 divisors (see below), whose sum is σ = 1012283472. Its totient is φ = 126873600.

The previous prime is 381607871. The next prime is 381607901. The reversal of 381607872 is 278706183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381607871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78472 + ... + 83192.

Almost surely, 2^381607872 is an apocalyptic number.

381607872 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 381607872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506141736).

381607872 is an abundant number, since it is smaller than the sum of its proper divisors (630675600).

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

381607872 is a wasteful number, since it uses less digits than its factorization.

381607872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5157 (or 5147 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 381607872 is about 19534.7862030789. The cubic root of 381607872 is about 725.3357918145.

The spelling of 381607872 in words is "three hundred eighty-one million, six hundred seven thousand, eight hundred seventy-two".