361388816 has 40 divisors (see below), whose sum is σ = 738777120. Its totient is φ = 170781696.

The previous prime is 361388809. The next prime is 361388831. The reversal of 361388816 is 618883163.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157856 + ... + 160128.

It is an arithmetic number, because the mean of its divisors is an integer number (18469428).

Almost surely, 2^361388816 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 361388816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369388560).

361388816 is an abundant number, since it is smaller than the sum of its proper divisors (377388304).

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

361388816 is a wasteful number, since it uses less digits than its factorization.

361388816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2817 counting only the distinct ones).

The product of its digits is 165888, while the sum is 44.

The square root of 361388816 is about 19010.2292463821. The cubic root of 361388816 is about 712.2922778482.

It can be divided in two parts, 3613 and 88816, that added together give a palindrome (92429).

The spelling of 361388816 in words is "three hundred sixty-one million, three hundred eighty-eight thousand, eight hundred sixteen".