361884400 has 60 divisors (see below), whose sum is σ = 873541312. Its totient is φ = 144069120.

The previous prime is 361884377. The next prime is 361884401. The reversal of 361884400 is 4488163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361884401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87172 + ... + 91228.

Almost surely, 2^361884400 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 361884400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436770656).

361884400 is an abundant number, since it is smaller than the sum of its proper divisors (511656912).

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

361884400 is a wasteful number, since it uses less digits than its factorization.

361884400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 361884400 is about 19023.2594473187. The cubic root of 361884400 is about 712.6177254945.

The spelling of 361884400 in words is "three hundred sixty-one million, eight hundred eighty-four thousand, four hundred".