38442486665352 has 256 divisors, whose sum is σ = 123252331345920. Its totient is φ = 9703039795200.

The previous prime is 38442486665333. The next prime is 38442486665389. The reversal of 38442486665352 is 25356668424483.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7302088 + ... + 11410760.

It is an arithmetic number, because the mean of its divisors is an integer number (481454419320).

Almost surely, 2^{38442486665352} 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 38442486665352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61626165672960).

38442486665352 is an abundant number, since it is smaller than the sum of its proper divisors (84809844680568).

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

38442486665352 is a wasteful number, since it uses less digits than its factorization.

38442486665352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108844 (or 4108840 counting only the distinct ones).

The product of its digits is 796262400, while the sum is 66.

The spelling of 38442486665352 in words is "thirty-eight trillion, four hundred forty-two billion, four hundred eighty-six million, six hundred sixty-five thousand, three hundred fifty-two".