381376512 has 360 divisors, whose sum is σ = 1318016700. Its totient is φ = 109486080.

The previous prime is 381376511. The next prime is 381376537. The reversal of 381376512 is 215673183.

381376512 is a `hidden beast` number, since 3 + 8 + 137 + 6 + 512 = 666.

It is a super-2 number, since 2×381376512² = 290896087810572288, which contains 22 as substring.

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

Its product of digits (30240) is a multiple of the sum of its prime divisors (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381376511) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 20072439 + ... + 20072457.

Almost surely, 2^381376512 is an apocalyptic number.

381376512 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 381376512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659008350).

381376512 is an abundant number, since it is smaller than the sum of its proper divisors (936640188).

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

381376512 is a wasteful number, since it uses less digits than its factorization.

381376512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 35 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 381376512 is about 19528.8635614057. The cubic root of 381376512 is about 725.1891774263.

The spelling of 381376512 in words is "three hundred eighty-one million, three hundred seventy-six thousand, five hundred twelve".