8038634112 has 96 divisors (see below), whose sum is σ = 23242340160. Its totient is φ = 2666764800.

The previous prime is 8038634029. The next prime is 8038634117. The reversal of 8038634112 is 2114368308.

8038634112 is a `hidden beast` number, since 8 + 0 + 3 + 8 + 634 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8038634112² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8038634117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226537 + ... + 259607.

It is an arithmetic number, because the mean of its divisors is an integer number (242107710).

Almost surely, 2^8038634112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8038634112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11621170080).

8038634112 is an abundant number, since it is smaller than the sum of its proper divisors (15203706048).

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

8038634112 is a wasteful number, since it uses less digits than its factorization.

8038634112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33302 (or 33287 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8038634112 is about 89658.4302338603. The cubic root of 8038634112 is about 2003.2143405731.

The spelling of 8038634112 in words is "eight billion, thirty-eight million, six hundred thirty-four thousand, one hundred twelve".