381396600 has 240 divisors, whose sum is σ = 1427330520. Its totient is φ = 93830400.

The previous prime is 381396577. The next prime is 381396601. The reversal of 381396600 is 6693183.

It is a happy number.

381396600 is a `hidden beast` number, since 38 + 13 + 9 + 6 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381396601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 209695 + ... + 211505.

Almost surely, 2^381396600 is an apocalyptic number.

381396600 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 381396600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713665260).

381396600 is an abundant number, since it is smaller than the sum of its proper divisors (1045933920).

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

381396600 is a wasteful number, since it uses less digits than its factorization.

381396600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 381396600 is about 19529.3778702753. The cubic root of 381396600 is about 725.2019096773.

The spelling of 381396600 in words is "three hundred eighty-one million, three hundred ninety-six thousand, six hundred".