3428000 has 48 divisors (see below), whose sum is σ = 8432424. Its totient is φ = 1369600.

The previous prime is 3427981. The next prime is 3428021. The reversal of 3428000 is 8243.

It can be written as a sum of positive squares in 4 ways, for example, as 1860496 + 1567504 = 1364^2 + 1252^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3428000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3572 + ... + 4428.

Almost surely, 2^3428000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216212).

3428000 is an abundant number, since it is smaller than the sum of its proper divisors (5004424).

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

3428000 is an equidigital number, since it uses as much as digits as its factorization.

3428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3428000 is about 1851.4858897653. The cubic root of 3428000 is about 150.7811105666.

The spelling of 3428000 in words is "three million, four hundred twenty-eight thousand".