381290976 has 240 divisors, whose sum is σ = 1255782528. Its totient is φ = 112492800.

The previous prime is 381290971. The next prime is 381290999. The reversal of 381290976 is 679092183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381290971) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1225861 + ... + 1226171.

Almost surely, 2^381290976 is an apocalyptic number.

381290976 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 381290976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627891264).

381290976 is an abundant number, since it is smaller than the sum of its proper divisors (874491552).

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

381290976 is a wasteful number, since it uses less digits than its factorization.

381290976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 381290976 is about 19526.6734494127. The cubic root of 381290976 is about 725.1349576745.

The spelling of 381290976 in words is "three hundred eighty-one million, two hundred ninety thousand, nine hundred seventy-six".