38622038659776 has 1120 divisors, whose sum is σ = 140583251350080. Its totient is φ = 10322745753600.

The previous prime is 38622038659693. The next prime is 38622038659777. The reversal of 38622038659776 is 67795683022683.

38622038659776 is a `hidden beast` number, since 3 + 8 + 6 + 2 + 20 + 3 + 8 + 6 + 597 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (38622038659777) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2085301396 + ... + 2085319916.

It is an arithmetic number, because the mean of its divisors is an integer number (125520760134).

Almost surely, 2^{38622038659776} is an apocalyptic number.

38622038659776 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 38622038659776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70291625675040).

38622038659776 is an abundant number, since it is smaller than the sum of its proper divisors (101961212690304).

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

38622038659776 is a wasteful number, since it uses less digits than its factorization.

38622038659776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18695 (or 18676 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 38622038659776 in words is "thirty-eight trillion, six hundred twenty-two billion, thirty-eight million, six hundred fifty-nine thousand, seven hundred seventy-six".