361306304 has 56 divisors (see below), whose sum is σ = 768480048. Its totient is φ = 167936000.

The previous prime is 361306303. The next prime is 361306349. The reversal of 361306304 is 403603163.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (361306301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88304 + ... + 92304.

It is an arithmetic number, because the mean of its divisors is an integer number (13722858).

Almost surely, 2^361306304 is an apocalyptic number.

361306304 is a gapful number since it is divisible by the number (34) 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 361306304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384240024).

361306304 is an abundant number, since it is smaller than the sum of its proper divisors (407173744).

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

361306304 is a wasteful number, since it uses less digits than its factorization.

361306304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 361306304 is about 19008.0589224676. The cubic root of 361306304 is about 712.2380637244.

Adding to 361306304 its reverse (403603163), we get a palindrome (764909467).

The spelling of 361306304 in words is "three hundred sixty-one million, three hundred six thousand, three hundred four".