38984112 has 160 divisors (see below), whose sum is σ = 119992320. Its totient is φ = 12096000.

The previous prime is 38984107. The next prime is 38984129. The reversal of 38984112 is 21148983.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549037 + ... + 549107.

It is an arithmetic number, because the mean of its divisors is an integer number (749952).

Almost surely, 2^38984112 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 38984112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

38984112 is an abundant number, since it is smaller than the sum of its proper divisors (81008208).

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

38984112 is a wasteful number, since it uses less digits than its factorization.

38984112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 38984112 is about 6243.7258107640. The cubic root of 38984112 is about 339.0750871342.

The spelling of 38984112 in words is "thirty-eight million, nine hundred eighty-four thousand, one hundred twelve".