36338830416 has 560 divisors, whose sum is σ = 127508505600. Its totient is φ = 10013310720.

The previous prime is 36338830357. The next prime is 36338830433. The reversal of 36338830416 is 61403883363.

36338830416 is a `hidden beast` number, since 3 + 6 + 338 + 8 + 304 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 124023166 + ... + 124023458.

It is an arithmetic number, because the mean of its divisors is an integer number (227693760).

Almost surely, 2^36338830416 is an apocalyptic number.

36338830416 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 36338830416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63754252800).

36338830416 is an abundant number, since it is smaller than the sum of its proper divisors (91169675184).

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

36338830416 is an equidigital number, since it uses as much as digits as its factorization.

36338830416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 36338830416 in words is "thirty-six billion, three hundred thirty-eight million, eight hundred thirty thousand, four hundred sixteen".