38966112 has 72 divisors (see below), whose sum is σ = 116658360. Its totient is φ = 12303360.

The previous prime is 38966107. The next prime is 38966141. The reversal of 38966112 is 21166983.

38966112 is a `hidden beast` number, since 38 + 9 + 6 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1912 + ... + 9032.

It is an arithmetic number, because the mean of its divisors is an integer number (1620255).

Almost surely, 2^38966112 is an apocalyptic number.

38966112 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 38966112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58329180).

38966112 is an abundant number, since it is smaller than the sum of its proper divisors (77692248).

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

38966112 is a wasteful number, since it uses less digits than its factorization.

38966112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7156 (or 7145 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 38966112 is about 6242.2841973111. The cubic root of 38966112 is about 339.0228924421.

The spelling of 38966112 in words is "thirty-eight million, nine hundred sixty-six thousand, one hundred twelve".