361538316 has 72 divisors (see below), whose sum is σ = 951035904. Its totient is φ = 120093840.

The previous prime is 361538299. The next prime is 361538329. The reversal of 361538316 is 613835163.

It is a happy number.

361538316 is a `hidden beast` number, since 3 + 615 + 3 + 8 + 31 + 6 = 666.

It is a super-2 number, since 2×361538316² = 261419907872231712, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418501 + ... + 419363.

It is an arithmetic number, because the mean of its divisors is an integer number (13208832).

Almost surely, 2^361538316 is an apocalyptic number.

361538316 is a gapful number since it is divisible by the number (36) 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 361538316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475517952).

361538316 is an abundant number, since it is smaller than the sum of its proper divisors (589497588).

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

361538316 is a wasteful number, since it uses less digits than its factorization.

361538316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1299 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 361538316 is about 19014.1609333675. The cubic root of 361538316 is about 712.3904851069.

The spelling of 361538316 in words is "three hundred sixty-one million, five hundred thirty-eight thousand, three hundred sixteen".