361072800 has 432 divisors, whose sum is σ = 1433158272. Its totient is φ = 84787200.

The previous prime is 361072799. The next prime is 361072807. The reversal of 361072800 is 8270163.

361072800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (361072807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3722352 + ... + 3722448.

It is an arithmetic number, because the mean of its divisors is an integer number (3317496).

Almost surely, 2^361072800 is an apocalyptic number.

361072800 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 361072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716579136).

361072800 is an abundant number, since it is smaller than the sum of its proper divisors (1072085472).

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

361072800 is a wasteful number, since it uses less digits than its factorization.

361072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 361072800 is about 19001.9156928979. The cubic root of 361072800 is about 712.0845962690.

The spelling of 361072800 in words is "three hundred sixty-one million, seventy-two thousand, eight hundred".