38005112832 has 160 divisors (see below), whose sum is σ = 103045562400. Its totient is φ = 12457082880.

The previous prime is 38005112753. The next prime is 38005112833. The reversal of 38005112832 is 23821150083.

It is a junction number, because it is equal to n+sod(n) for n = 38005112793 and 38005112802.

It is not an unprimeable number, because it can be changed into a prime (38005112833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114818907 + ... + 114819237.

It is an arithmetic number, because the mean of its divisors is an integer number (644034765).

Almost surely, 2^38005112832 is an apocalyptic number.

38005112832 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 38005112832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51522781200).

38005112832 is an abundant number, since it is smaller than the sum of its proper divisors (65040449568).

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

38005112832 is an frugal number, since it uses more digits than its factorization.

38005112832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 38005112832 in words is "thirty-eight billion, five million, one hundred twelve thousand, eight hundred thirty-two".