361316592 has 360 divisors, whose sum is σ = 1319312880. Its totient is φ = 94348800.

The previous prime is 361316569. The next prime is 361316609. The reversal of 361316592 is 295613163.

361316592 is a `hidden beast` number, since 3 + 61 + 3 + 1 + 6 + 592 = 666.

361316592 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3577342 + ... + 3577442.

It is an arithmetic number, because the mean of its divisors is an integer number (3664758).

Almost surely, 2^361316592 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 361316592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659656440).

361316592 is an abundant number, since it is smaller than the sum of its proper divisors (957996288).

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

361316592 is a wasteful number, since it uses less digits than its factorization.

361316592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 126 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 361316592 is about 19008.3295425979. The cubic root of 361316592 is about 712.2448238571.

The spelling of 361316592 in words is "three hundred sixty-one million, three hundred sixteen thousand, five hundred ninety-two".