38350115712 has 128 divisors (see below), whose sum is σ = 113327508000. Its totient is φ = 12767404032.

The previous prime is 38350115701. The next prime is 38350115719. The reversal of 38350115712 is 21751105383.

It is a happy number.

38350115712 is a `hidden beast` number, since 3 + 83 + 5 + 0 + 1 + 1 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38350115719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2941464 + ... + 2954472.

Almost surely, 2^38350115712 is an apocalyptic number.

38350115712 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 38350115712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56663754000).

38350115712 is an abundant number, since it is smaller than the sum of its proper divisors (74977392288).

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

38350115712 is a wasteful number, since it uses less digits than its factorization.

38350115712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13885 (or 13867 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 38350115712 in words is "thirty-eight billion, three hundred fifty million, one hundred fifteen thousand, seven hundred twelve".