364383216 has 120 divisors (see below), whose sum is σ = 1085295120. Its totient is φ = 113799168.

The previous prime is 364383211. The next prime is 364383221. The reversal of 364383216 is 612383463.

364383216 is a `hidden beast` number, since 3 + 6 + 438 + 3 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (364383211) and next prime (364383221).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364383211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264706 + ... + 266078.

It is an arithmetic number, because the mean of its divisors is an integer number (9044126).

Almost surely, 2^364383216 is an apocalyptic number.

364383216 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 364383216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542647560).

364383216 is an abundant number, since it is smaller than the sum of its proper divisors (720911904).

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

364383216 is a wasteful number, since it uses less digits than its factorization.

364383216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1494 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 364383216 is about 19088.8243744868. The cubic root of 364383216 is about 714.2541759180.

The spelling of 364383216 in words is "three hundred sixty-four million, three hundred eighty-three thousand, two hundred sixteen".