38755822446720 has 512 divisors, whose sum is σ = 139527069696000. Its totient is φ = 10165304291328.

The previous prime is 38755822446683. The next prime is 38755822446743. The reversal of 38755822446720 is 2764422855783.

It is a happy number.

38755822446720 is a `hidden beast` number, since 3 + 8 + 7 + 5 + 582 + 2 + 4 + 46 + 7 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325512961 + ... + 325631999.

It is an arithmetic number, because the mean of its divisors is an integer number (272513808000).

Almost surely, 2^{38755822446720} is an apocalyptic number.

38755822446720 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 38755822446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69763534848000).

38755822446720 is an abundant number, since it is smaller than the sum of its proper divisors (100771247249280).

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

38755822446720 is a wasteful number, since it uses less digits than its factorization.

38755822446720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119377 (or 119359 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 38755822446720 in words is "thirty-eight trillion, seven hundred fifty-five billion, eight hundred twenty-two million, four hundred forty-six thousand, seven hundred twenty".