361984474800 has 960 divisors, whose sum is σ = 1503713756160. Its totient is φ = 81888952320.

The previous prime is 361984474799. The next prime is 361984474807. The reversal of 361984474800 is 8474489163.

361984474800 is a `hidden beast` number, since 3 + 6 + 1 + 98 + 4 + 474 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (361984474807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102630637 + ... + 102634163.

It is an arithmetic number, because the mean of its divisors is an integer number (1566368496).

Almost surely, 2^361984474800 is an apocalyptic number.

361984474800 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 361984474800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751856878080).

361984474800 is an abundant number, since it is smaller than the sum of its proper divisors (1141729281360).

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

361984474800 is a wasteful number, since it uses less digits than its factorization.

361984474800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 361984474800 in words is "three hundred sixty-one billion, nine hundred eighty-four million, four hundred seventy-four thousand, eight hundred".