38745770112 has 768 divisors, whose sum is σ = 139312742400. Its totient is φ = 10102579200.

The previous prime is 38745770069. The next prime is 38745770117. The reversal of 38745770112 is 21107754783.

38745770112 is a `hidden beast` number, since 3 + 8 + 74 + 577 + 0 + 1 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (38745770117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 545715037 + ... + 545715107.

It is an arithmetic number, because the mean of its divisors is an integer number (181396800).

Almost surely, 2^38745770112 is an apocalyptic number.

38745770112 is a gapful number since it is divisible by the number (32) 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 38745770112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69656371200).

38745770112 is an abundant number, since it is smaller than the sum of its proper divisors (100566972288).

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

38745770112 is a wasteful number, since it uses less digits than its factorization.

38745770112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 38745770112 in words is "thirty-eight billion, seven hundred forty-five million, seven hundred seventy thousand, one hundred twelve".