381137664 has 72 divisors (see below), whose sum is σ = 1036062720. Its totient is φ = 124331008.

The previous prime is 381137657. The next prime is 381137689. The reversal of 381137664 is 466731183.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30817 + ... + 41375.

It is an arithmetic number, because the mean of its divisors is an integer number (14389760).

Almost surely, 2^381137664 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 381137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518031360).

381137664 is an abundant number, since it is smaller than the sum of its proper divisors (654925056).

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

381137664 is a wasteful number, since it uses less digits than its factorization.

381137664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10625 (or 10611 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 381137664 is about 19522.7473476455. The cubic root of 381137664 is about 725.0377556239.

The spelling of 381137664 in words is "three hundred eighty-one million, one hundred thirty-seven thousand, six hundred sixty-four".