381638016 has 48 divisors (see below), whose sum is σ = 1098206460. Its totient is φ = 127212288.

The previous prime is 381637961. The next prime is 381638027. The reversal of 381638016 is 610836183.

381638016 is a `hidden beast` number, since 3 + 8 + 1 + 638 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 164490 + ... + 166793.

Almost surely, 2^381638016 is an apocalyptic number.

381638016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

381638016 is an abundant number, since it is smaller than the sum of its proper divisors (716568444).

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

381638016 is a wasteful number, since it uses less digits than its factorization.

381638016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331303 (or 331288 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 381638016 is about 19535.5577345516. The cubic root of 381638016 is about 725.3548899062.

The spelling of 381638016 in words is "three hundred eighty-one million, six hundred thirty-eight thousand, sixteen".