3428460 has 96 divisors (see below), whose sum is σ = 12203520. Its totient is φ = 782784.

The previous prime is 3428437. The next prime is 3428471. The reversal of 3428460 is 648243.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3327 + ... + 4233.

It is an arithmetic number, because the mean of its divisors is an integer number (127120).

Almost surely, 2^3428460 is an apocalyptic number.

3428460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3428460 is the 1512-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6101760).

3428460 is an abundant number, since it is smaller than the sum of its proper divisors (8775060).

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

3428460 is a wasteful number, since it uses less digits than its factorization.

3428460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3428460 is about 1851.6101101474. The cubic root of 3428460 is about 150.7878546553.

The spelling of 3428460 in words is "three million, four hundred twenty-eight thousand, four hundred sixty".