361328352 has 144 divisors (see below), whose sum is σ = 1203818112. Its totient is φ = 93838080.

The previous prime is 361328311. The next prime is 361328369. The reversal of 361328352 is 253823163.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48253 + ... + 55235.

It is an arithmetic number, because the mean of its divisors is an integer number (8359848).

Almost surely, 2^361328352 is an apocalyptic number.

361328352 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 361328352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601909056).

361328352 is an abundant number, since it is smaller than the sum of its proper divisors (842489760).

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

361328352 is a wasteful number, since it uses less digits than its factorization.

361328352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7021 (or 7006 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 361328352 is about 19008.6388781522. The cubic root of 361328352 is about 712.2525510677.

The spelling of 361328352 in words is "three hundred sixty-one million, three hundred twenty-eight thousand, three hundred fifty-two".