361801600 has 48 divisors (see below), whose sum is σ = 893770920. Its totient is φ = 144719360.

The previous prime is 361801597. The next prime is 361801607. The reversal of 361801600 is 6108163.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361801607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53332 + ... + 59731.

Almost surely, 2^361801600 is an apocalyptic number.

It is an amenable number.

361801600 is an abundant number, since it is smaller than the sum of its proper divisors (531969320).

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

361801600 is a wasteful number, since it uses less digits than its factorization.

361801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113087 (or 113070 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 361801600 is about 19021.0830396169. The cubic root of 361801600 is about 712.5633718128.

Adding to 361801600 its reverse (6108163), we get a palindrome (367909763).

The spelling of 361801600 in words is "three hundred sixty-one million, eight hundred one thousand, six hundred".