381897600 has 192 divisors, whose sum is σ = 1437824640. Its totient is φ = 87275520.

The previous prime is 381897557. The next prime is 381897611. The reversal of 381897600 is 6798183.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64359 + ... + 70041.

It is an arithmetic number, because the mean of its divisors is an integer number (7488670).

Almost surely, 2^381897600 is an apocalyptic number.

381897600 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 381897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718912320).

381897600 is an abundant number, since it is smaller than the sum of its proper divisors (1055927040).

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

381897600 is a wasteful number, since it uses less digits than its factorization.

381897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5717 (or 5700 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 381897600 is about 19542.2004902212. The cubic root of 381897600 is about 725.5193108507.

The spelling of 381897600 in words is "three hundred eighty-one million, eight hundred ninety-seven thousand, six hundred".