3428400 has 60 divisors (see below), whose sum is σ = 10986152. Its totient is φ = 913920.

The previous prime is 3428389. The next prime is 3428413. The reversal of 3428400 is 48243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229 + ... + 2628.

Almost surely, 2^3428400 is an apocalyptic number.

3428400 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 3428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493076).

3428400 is an abundant number, since it is smaller than the sum of its proper divisors (7557752).

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

3428400 is a wasteful number, since it uses less digits than its factorization.

3428400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3428400 is about 1851.5939079615. The cubic root of 3428400 is about 150.7869750258.

It can be divided in two parts, 3428 and 400, that added together give a triangular number (3828 = T₈₇).

The spelling of 3428400 in words is "three million, four hundred twenty-eight thousand, four hundred".