3428964 has 72 divisors (see below), whose sum is σ = 10815168. Its totient is φ = 889920.

The previous prime is 3428947. The next prime is 3428977. The reversal of 3428964 is 4698243.

It is a happy number.

It is a super-2 number, since 2×3428964² = 23515588226592, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 3¹¹ + 4⁸ + 2²¹ + 8⁵ + 9 + 6⁵ + 4¹⁰ .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2154 + ... + 3390.

Almost surely, 2^3428964 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 3428964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407584).

3428964 is an abundant number, since it is smaller than the sum of its proper divisors (7386204).

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

3428964 is a wasteful number, since it uses less digits than its factorization.

3428964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1260 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3428964 is about 1851.7462029123. The cubic root of 3428964 is about 150.7952431383.

The spelling of 3428964 in words is "three million, four hundred twenty-eight thousand, nine hundred sixty-four".