381355632 has 150 divisors (see below), whose sum is σ = 1246198512. Its totient is φ = 108859968.

The previous prime is 381355621. The next prime is 381355643. The reversal of 381355632 is 236553183.

381355632 is a `hidden beast` number, since 3 + 8 + 13 + 5 + 5 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (381355621) and next prime (381355643).

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 29 ways as a sum of consecutive naturals, for example, 345193 + ... + 346295.

Almost surely, 2^381355632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381355632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623099256).

381355632 is an abundant number, since it is smaller than the sum of its proper divisors (864842880).

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

381355632 is a wasteful number, since it uses less digits than its factorization.

381355632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1115 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 381355632 is about 19528.3289607688. The cubic root of 381355632 is about 725.1759427130.

The spelling of 381355632 in words is "three hundred eighty-one million, three hundred fifty-five thousand, six hundred thirty-two".