36338708643840 has 1008 divisors, whose sum is σ = 136485470173248. Its totient is φ = 9266201100288.

The previous prime is 36338708643829. The next prime is 36338708643859. The reversal of 36338708643840 is 4834680783363.

36338708643840 is a `hidden beast` number, since 3 + 6 + 3 + 3 + 87 + 0 + 86 + 438 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10988419467 + ... + 10988422773.

It is an arithmetic number, because the mean of its divisors is an integer number (135402252156).

Almost surely, 2^{36338708643840} is an apocalyptic number.

36338708643840 is a gapful number since it is divisible by the number (30) 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 36338708643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68242735086624).

36338708643840 is an abundant number, since it is smaller than the sum of its proper divisors (100146761529408).

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

36338708643840 is an frugal number, since it uses more digits than its factorization.

36338708643840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 36338708643840 in words is "thirty-six trillion, three hundred thirty-eight billion, seven hundred eight million, six hundred forty-three thousand, eight hundred forty".