3428864 has 40 divisors (see below), whose sum is σ = 7075068. Its totient is φ = 1658880.

The previous prime is 3428861. The next prime is 3428869. The reversal of 3428864 is 4688243.

It can be written as a sum of positive squares in 2 ways, for example, as 3385600 + 43264 = 1840^2 + 208^2 .

It is not an unprimeable number, because it can be changed into a prime (3428861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18854 + ... + 19034.

Almost surely, 2^3428864 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 3428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537534).

3428864 is an abundant number, since it is smaller than the sum of its proper divisors (3646204).

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

3428864 is an equidigital number, since it uses as much as digits as its factorization.

3428864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 3428864 is about 1851.7192011750. The cubic root of 3428864 is about 150.7937772271.

The spelling of 3428864 in words is "three million, four hundred twenty-eight thousand, eight hundred sixty-four".