3121792 has 32 divisors (see below), whose sum is σ = 6441300. Its totient is φ = 1507072.

The previous prime is 3121771. The next prime is 3121817. The reversal of 3121792 is 2971213.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2742336 + 379456 = 1656^2 + 616^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107634 + ... + 107662.

Almost surely, 2^3121792 is an apocalyptic number.

3121792 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 3121792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220650).

3121792 is an abundant number, since it is smaller than the sum of its proper divisors (3319508).

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

3121792 is an frugal number, since it uses more digits than its factorization.

3121792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 31 counting only the distinct ones).

The product of its digits is 756, while the sum is 25.

The square root of 3121792 is about 1766.8593605604. The cubic root of 3121792 is about 146.1508417878.

The spelling of 3121792 in words is "three million, one hundred twenty-one thousand, seven hundred ninety-two".