3189456 has 100 divisors (see below), whose sum is σ = 9722592. Its totient is φ = 1007424.

The previous prime is 3189451. The next prime is 3189463. The reversal of 3189456 is 6549813.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (25920) is a multiple of the sum of its prime divisors (135).

It is a self number, because there is not a number n which added to its sum of digits gives 3189456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3189451) 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, 29755 + ... + 29861.

Almost surely, 2^3189456 is an apocalyptic number.

3189456 is a gapful number since it is divisible by the number (36) 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 3189456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861296).

3189456 is an abundant number, since it is smaller than the sum of its proper divisors (6533136).

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

3189456 is a wasteful number, since it uses less digits than its factorization.

3189456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 3189456 is about 1785.9048126930. The cubic root of 3189456 is about 147.1992300684.

The spelling of 3189456 in words is "three million, one hundred eighty-nine thousand, four hundred fifty-six".