381627008 has 128 divisors (see below), whose sum is σ = 947376000. Its totient is φ = 149409792.

The previous prime is 381626983. The next prime is 381627011. The reversal of 381627008 is 800726183.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493310 + ... + 494082.

It is an arithmetic number, because the mean of its divisors is an integer number (7401375).

Almost surely, 2^381627008 is an apocalyptic number.

381627008 is a gapful number since it is divisible by the number (38) 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 381627008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473688000).

381627008 is an abundant number, since it is smaller than the sum of its proper divisors (565748992).

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

381627008 is a wasteful number, since it uses less digits than its factorization.

381627008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 381627008 is about 19535.2759898600. The cubic root of 381627008 is about 725.3479157728.

The spelling of 381627008 in words is "three hundred eighty-one million, six hundred twenty-seven thousand, eight".