364631616 has 168 divisors, whose sum is σ = 1098377280. Its totient is φ = 115497984.

The previous prime is 364631609. The next prime is 364631669. The reversal of 364631616 is 616136463.

364631616 is a `hidden beast` number, since 3 + 6 + 4 + 6 + 31 + 616 = 666.

364631616 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 nude number because it is divisible by every one of its digits.

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, 1386301 + ... + 1386563.

It is an arithmetic number, because the mean of its divisors is an integer number (6537960).

Almost surely, 2^364631616 is an apocalyptic number.

364631616 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 364631616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549188640).

364631616 is an abundant number, since it is smaller than the sum of its proper divisors (733745664).

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

364631616 is a wasteful number, since it uses less digits than its factorization.

364631616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 380 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 364631616 is about 19095.3296907909. The cubic root of 364631616 is about 714.4164413836.

The spelling of 364631616 in words is "three hundred sixty-four million, six hundred thirty-one thousand, six hundred sixteen".