381129600 has 288 divisors, whose sum is σ = 1334680200. Its totient is φ = 95477760.

The previous prime is 381129599. The next prime is 381129611. The reversal of 381129600 is 6921183.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 10300782 + ... + 10300818.

Almost surely, 2^381129600 is an apocalyptic number.

381129600 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 381129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667340100).

381129600 is an abundant number, since it is smaller than the sum of its proper divisors (953550600).

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

381129600 is a wasteful number, since it uses less digits than its factorization.

381129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 381129600 is about 19522.5408182439. The cubic root of 381129600 is about 725.0326422085.

It can be divided in two parts, 3811 and 29600, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 381129600 in words is "three hundred eighty-one million, one hundred twenty-nine thousand, six hundred".