3193920 has 84 divisors (see below), whose sum is σ = 10995660. Its totient is φ = 850944.

The previous prime is 3193913. The next prime is 3193921. The reversal of 3193920 is 293913.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 2742336 = 672^2 + 1656^2 .

It is a super-2 number, since 2×3193920² = 20402249932800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3193921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2326 + ... + 3434.

Almost surely, 2^3193920 is an apocalyptic number.

3193920 is a gapful number since it is divisible by the number (30) 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 3193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497830).

3193920 is an abundant number, since it is smaller than the sum of its proper divisors (7801740).

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

3193920 is a wasteful number, since it uses less digits than its factorization.

3193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 3193920 is about 1787.1541623486. The cubic root of 3193920 is about 147.2678719769.

The spelling of 3193920 in words is "three million, one hundred ninety-three thousand, nine hundred twenty".