38652978790400 has 864 divisors, whose sum is σ = 108618553592640. Its totient is φ = 13545001451520.

The previous prime is 38652978790379. The next prime is 38652978790409. The reversal of 38652978790400 is 409787925683.

It is a happy number.

It is a super-2 number, since 2×38652978790400² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38652978790409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82768690967 + ... + 82768691433.

It is an arithmetic number, because the mean of its divisors is an integer number (125715918510).

Almost surely, 2^{38652978790400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38652978790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54309276796320).

38652978790400 is an abundant number, since it is smaller than the sum of its proper divisors (69965574802240).

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

38652978790400 is an equidigital number, since it uses as much as digits as its factorization.

38652978790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 68.

The spelling of 38652978790400 in words is "thirty-eight trillion, six hundred fifty-two billion, nine hundred seventy-eight million, seven hundred ninety thousand, four hundred".