361642400 has 72 divisors (see below), whose sum is σ = 1008997920. Its totient is φ = 123989760.

The previous prime is 361642387. The next prime is 361642417. The reversal of 361642400 is 4246163.

It is a self number, because there is not a number n which added to its sum of digits gives 361642400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26690 + ... + 37889.

It is an arithmetic number, because the mean of its divisors is an integer number (14013860).

Almost surely, 2^361642400 is an apocalyptic number.

It is an amenable number.

361642400 is an abundant number, since it is smaller than the sum of its proper divisors (647355520).

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

361642400 is a wasteful number, since it uses less digits than its factorization.

361642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64606 (or 64593 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 361642400 is about 19016.8977491072. The cubic root of 361642400 is about 712.4588423953.

Adding to 361642400 its reverse (4246163), we get a palindrome (365888563).

The spelling of 361642400 in words is "three hundred sixty-one million, six hundred forty-two thousand, four hundred".