361972800 has 756 divisors, whose sum is σ = 1633697520. Its totient is φ = 78382080.

The previous prime is 361972777. The next prime is 361972801. The reversal of 361972800 is 8279163.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (361972801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19051191 + ... + 19051209.

Almost surely, 2^361972800 is an apocalyptic number.

361972800 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 361972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816848760).

361972800 is an abundant number, since it is smaller than the sum of its proper divisors (1271724720).

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

361972800 is a wasteful number, since it uses less digits than its factorization.

361972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 361972800 is about 19025.5827768823. The cubic root of 361972800 is about 712.6757461204.

The spelling of 361972800 in words is "three hundred sixty-one million, nine hundred seventy-two thousand, eight hundred".