38192845852980 has 1152 divisors, whose sum is σ = 150644087193600. Its totient is φ = 7617170534400.

The previous prime is 38192845852961. The next prime is 38192845853083. The reversal of 38192845852980 is 8925854829183.

38192845852980 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 284 + 58 + 5 + 298 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38192845852899 and 38192845852908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3929704561 + ... + 3929714279.

It is an arithmetic number, because the mean of its divisors is an integer number (130767436800).

Almost surely, 2^{38192845852980} is an apocalyptic number.

38192845852980 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 38192845852980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75322043596800).

38192845852980 is an abundant number, since it is smaller than the sum of its proper divisors (112451241340620).

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

38192845852980 is a wasteful number, since it uses less digits than its factorization.

38192845852980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9965 (or 9960 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 72.

The spelling of 38192845852980 in words is "thirty-eight trillion, one hundred ninety-two billion, eight hundred forty-five million, eight hundred fifty-two thousand, nine hundred eighty".