381081600 has 216 divisors, whose sum is σ = 1366435980. Its totient is φ = 101498880.

The previous prime is 381081599. The next prime is 381081629. The reversal of 381081600 is 6180183.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460387 + ... + 461213.

Almost surely, 2^381081600 is an apocalyptic number.

381081600 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 381081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683217990).

381081600 is an abundant number, since it is smaller than the sum of its proper divisors (985354380).

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

381081600 is a wasteful number, since it uses less digits than its factorization.

381081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 381081600 is about 19521.3114313562. The cubic root of 381081600 is about 725.0022037190.

The spelling of 381081600 in words is "three hundred eighty-one million, eighty-one thousand, six hundred".