381661632 has 336 divisors, whose sum is σ = 1304739072. Its totient is φ = 109486080.

The previous prime is 381661603. The next prime is 381661649. The reversal of 381661632 is 236166183.

381661632 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 616 + 32 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3934608 + ... + 3934704.

It is an arithmetic number, because the mean of its divisors is an integer number (3883152).

Almost surely, 2^381661632 is an apocalyptic number.

381661632 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 381661632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652369536).

381661632 is an abundant number, since it is smaller than the sum of its proper divisors (923077440).

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

381661632 is a wasteful number, since it uses less digits than its factorization.

381661632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 136 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 381661632 is about 19536.1621614891. The cubic root of 381661632 is about 725.3698514030.

The spelling of 381661632 in words is "three hundred eighty-one million, six hundred sixty-one thousand, six hundred thirty-two".