381735900 has 432 divisors, whose sum is σ = 1516569600. Its totient is φ = 78174720.

The previous prime is 381735889. The next prime is 381735941. The reversal of 381735900 is 9537183.

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 143 ways as a sum of consecutive naturals, for example, 4832061 + ... + 4832139.

Almost surely, 2^381735900 is an apocalyptic number.

381735900 is a gapful number since it is divisible by the number (30) 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 381735900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758284800).

381735900 is an abundant number, since it is smaller than the sum of its proper divisors (1134833700).

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

381735900 is a wasteful number, since it uses less digits than its factorization.

381735900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 381735900 is about 19538.0628517773. The cubic root of 381735900 is about 725.4168985512.

The spelling of 381735900 in words is "three hundred eighty-one million, seven hundred thirty-five thousand, nine hundred".