381809376 has 168 divisors, whose sum is σ = 1214672760. Its totient is φ = 117386496.

The previous prime is 381809347. The next prime is 381809383. The reversal of 381809376 is 673908183.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 302635 + ... + 303893.

It is an arithmetic number, because the mean of its divisors is an integer number (7230195).

Almost surely, 2^381809376 is an apocalyptic number.

381809376 is a gapful number since it is divisible by the number (36) 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 381809376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607336380).

381809376 is an abundant number, since it is smaller than the sum of its proper divisors (832863384).

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

381809376 is a wasteful number, since it uses less digits than its factorization.

381809376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 381809376 is about 19539.9430910123. The cubic root of 381809376 is about 725.4634379804.

The spelling of 381809376 in words is "three hundred eighty-one million, eight hundred nine thousand, three hundred seventy-six".