381341376 has 168 divisors, whose sum is σ = 1189353984. Its totient is φ = 116121600.

The previous prime is 381341353. The next prime is 381341383. The reversal of 381341376 is 673143183.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 381341376.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 950776 + ... + 951176.

It is an arithmetic number, because the mean of its divisors is an integer number (7079488).

Almost surely, 2^381341376 is an apocalyptic number.

381341376 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 381341376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594676992).

381341376 is an abundant number, since it is smaller than the sum of its proper divisors (808012608).

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

381341376 is a wasteful number, since it uses less digits than its factorization.

381341376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 546 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 381341376 is about 19527.9639491679. The cubic root of 381341376 is about 725.1669063209.

It can be divided in two parts, 381 and 341376, that multiplied together give a triangular number (130064256 = T₁₆₁₂₈).

The spelling of 381341376 in words is "three hundred eighty-one million, three hundred forty-one thousand, three hundred seventy-six".