361667304 has 96 divisors (see below), whose sum is σ = 1011465000. Its totient is φ = 116660736.

The previous prime is 361667263. The next prime is 361667311. The reversal of 361667304 is 403766163.

It is a happy number.

361667304 is a `hidden beast` number, since 3 + 616 + 6 + 7 + 30 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 349764804 + 11902500 = 18702^2 + 3450^2 .

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

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, 929542 + ... + 929930.

Almost surely, 2^361667304 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 361667304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505732500).

361667304 is an abundant number, since it is smaller than the sum of its proper divisors (649797696).

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

361667304 is a wasteful number, since it uses less digits than its factorization.

361667304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 361667304 is about 19017.5525239185. The cubic root of 361667304 is about 712.4751961818.

The spelling of 361667304 in words is "three hundred sixty-one million, six hundred sixty-seven thousand, three hundred four".