381618400 has 72 divisors (see below), whose sum is σ = 941049144. Its totient is φ = 151104000.

The previous prime is 381618331. The next prime is 381618443. The reversal of 381618400 is 4816183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78439 + ... + 83161.

It is an arithmetic number, because the mean of its divisors is an integer number (13070127).

Almost surely, 2^381618400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381618400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470524572).

381618400 is an abundant number, since it is smaller than the sum of its proper divisors (559430744).

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

381618400 is a wasteful number, since it uses less digits than its factorization.

381618400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4844 (or 4831 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 381618400 is about 19535.0556692322. The cubic root of 381618400 is about 725.3424620691.

The spelling of 381618400 in words is "three hundred eighty-one million, six hundred eighteen thousand, four hundred".