360364032 has 384 divisors, whose sum is σ = 1310400000. Its totient is φ = 97542144.

The previous prime is 360364031. The next prime is 360364073. The reversal of 360364032 is 230463063.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 360363987 and 360364005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360364031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18966519 + ... + 18966537.

It is an arithmetic number, because the mean of its divisors is an integer number (3412500).

Almost surely, 2^360364032 is an apocalyptic number.

360364032 is a gapful number since it is divisible by the number (32) 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 360364032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200000).

360364032 is an abundant number, since it is smaller than the sum of its proper divisors (950035968).

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

360364032 is an equidigital number, since it uses as much as digits as its factorization.

360364032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 360364032 is about 18983.2566226135. The cubic root of 360364032 is about 711.6183621548.

The spelling of 360364032 in words is "three hundred sixty million, three hundred sixty-four thousand, thirty-two".