381615600 has 120 divisors (see below), whose sum is σ = 1230572032. Its totient is φ = 101088000.

The previous prime is 381615587. The next prime is 381615601. The reversal of 381615600 is 6516183.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381615601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194625 + ... + 196575.

Almost surely, 2^381615600 is an apocalyptic number.

381615600 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 381615600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615286016).

381615600 is an abundant number, since it is smaller than the sum of its proper divisors (848956432).

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

381615600 is a wasteful number, since it uses less digits than its factorization.

381615600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 381615600 is about 19534.9840030649. The cubic root of 381615600 is about 725.3406880772.

The spelling of 381615600 in words is "three hundred eighty-one million, six hundred fifteen thousand, six hundred".