38912872283136 has 440 divisors, whose sum is σ = 117795023089920. Its totient is φ = 12793421242368.

The previous prime is 38912872283111. The next prime is 38912872283137. The reversal of 38912872283136 is 63138227821983.

38912872283136 is a `hidden beast` number, since 3 + 8 + 9 + 12 + 87 + 228 + 313 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38912872283137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7777905211 + ... + 7777910213.

It is an arithmetic number, because the mean of its divisors is an integer number (267715961568).

Almost surely, 2^{38912872283136} is an apocalyptic number.

38912872283136 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 38912872283136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58897511544960).

38912872283136 is an abundant number, since it is smaller than the sum of its proper divisors (78882150806784).

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

38912872283136 is a wasteful number, since it uses less digits than its factorization.

38912872283136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6301 (or 6274 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 38912872283136 in words is "thirty-eight trillion, nine hundred twelve billion, eight hundred seventy-two million, two hundred eighty-three thousand, one hundred thirty-six".