3138912 has 120 divisors (see below), whose sum is σ = 10611216. Its totient is φ = 891648.

The previous prime is 3138911. The next prime is 3138913. The reversal of 3138912 is 2198313.

3138912 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3138911) and next prime (3138913).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

3138912 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3138911) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18058 + ... + 18230.

Almost surely, 2^3138912 is an apocalyptic number.

3138912 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 3138912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305608).

3138912 is an abundant number, since it is smaller than the sum of its proper divisors (7472304).

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

3138912 is a wasteful number, since it uses less digits than its factorization.

3138912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 3138912 is about 1771.6974911085. The cubic root of 3138912 is about 146.4175200747.

The spelling of 3138912 in words is "three million, one hundred thirty-eight thousand, nine hundred twelve".