381139200 has 324 divisors, whose sum is σ = 1470361620. Its totient is φ = 93634560.

The previous prime is 381139193. The next prime is 381139211. The reversal of 381139200 is 2931183.

It can be written as a sum of positive squares in 6 ways, for example, as 10653696 + 370485504 = 3264^2 + 19248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748546 + ... + 749054.

Almost surely, 2^381139200 is an apocalyptic number.

381139200 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 381139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735180810).

381139200 is an abundant number, since it is smaller than the sum of its proper divisors (1089222420).

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

381139200 is a wasteful number, since it uses less digits than its factorization.

381139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 381139200 is about 19522.7866863314. The cubic root of 381139200 is about 725.0387295997.

The spelling of 381139200 in words is "three hundred eighty-one million, one hundred thirty-nine thousand, two hundred".