38640735092736 has 1296 divisors, whose sum is σ = 136210761086400. Its totient is φ = 10955933614080.

The previous prime is 38640735092669. The next prime is 38640735092929. The reversal of 38640735092736 is 63729053704683.

38640735092736 is a `hidden beast` number, since 3 + 8 + 6 + 4 + 0 + 7 + 350 + 9 + 273 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 294967443391 + ... + 294967443521.

It is an arithmetic number, because the mean of its divisors is an integer number (105100895900).

Almost surely, 2^{38640735092736} is an apocalyptic number.

38640735092736 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 38640735092736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68105380543200).

38640735092736 is an abundant number, since it is smaller than the sum of its proper divisors (97570025993664).

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

38640735092736 is an frugal number, since it uses more digits than its factorization.

38640735092736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 38640735092736 in words is "thirty-eight trillion, six hundred forty billion, seven hundred thirty-five million, ninety-two thousand, seven hundred thirty-six".