393938112 has 112 divisors (see below), whose sum is σ = 1117469952. Its totient is φ = 122158080.

The previous prime is 393938101. The next prime is 393938123. The reversal of 393938112 is 211839393.

It is an interprime number because it is at equal distance from previous prime (393938101) and next prime (393938123).

It is a super-2 number, since 2×393938112² = 310374472172249088, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162187 + ... + 164597.

Almost surely, 2^393938112 is an apocalyptic number.

393938112 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 393938112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558734976).

393938112 is an abundant number, since it is smaller than the sum of its proper divisors (723531840).

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

393938112 is a wasteful number, since it uses less digits than its factorization.

393938112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2476 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 393938112 is about 19847.8742438580. The cubic root of 393938112 is about 733.0653066420.

It can be divided in two parts, 3939381 and 12, that added together give a palindrome (3939393).

The spelling of 393938112 in words is "three hundred ninety-three million, nine hundred thirty-eight thousand, one hundred twelve".