361314216 has 32 divisors (see below), whose sum is σ = 1003651200. Its totient is φ = 120438000.

The previous prime is 361314211. The next prime is 361314221. The reversal of 361314216 is 612413163.

361314216 is a `hidden beast` number, since 3 + 613 + 1 + 42 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (361314211) and next prime (361314221).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 361314216.

It is not an unprimeable number, because it can be changed into a prime (361314211) 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, 836160 + ... + 836591.

It is an arithmetic number, because the mean of its divisors is an integer number (31364100).

Almost surely, 2^361314216 is an apocalyptic number.

361314216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

361314216 is an abundant number, since it is smaller than the sum of its proper divisors (642336984).

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

361314216 is a wasteful number, since it uses less digits than its factorization.

361314216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672766 (or 1672756 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 361314216 is about 19008.2670435787. The cubic root of 361314216 is about 712.2432626248.

Adding to 361314216 its reverse (612413163), we get a palindrome (973727379).

The spelling of 361314216 in words is "three hundred sixty-one million, three hundred fourteen thousand, two hundred sixteen".