361320320 has 64 divisors (see below), whose sum is σ = 868428000. Its totient is φ = 143751168.

The previous prime is 361320319. The next prime is 361320341. The reversal of 361320320 is 23023163.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 361320292 and 361320301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125942 + ... + 128778.

Almost surely, 2^361320320 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 361320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434214000).

361320320 is an abundant number, since it is smaller than the sum of its proper divisors (507107680).

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

361320320 is a wasteful number, since it uses less digits than its factorization.

361320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 361320320 is about 19008.4276046179. The cubic root of 361320320 is about 712.2472734536.

Adding to 361320320 its reverse (23023163), we get a palindrome (384343483).

The spelling of 361320320 in words is "three hundred sixty-one million, three hundred twenty thousand, three hundred twenty".