3406900 has 72 divisors (see below), whose sum is σ = 8777216. Its totient is φ = 1123200.

The previous prime is 3406877. The next prime is 3406913. The reversal of 3406900 is 96043.

It is a super-3 number, since 3×3406900³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21622 + ... + 21778.

Almost surely, 2^3406900 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 3406900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388608).

3406900 is an abundant number, since it is smaller than the sum of its proper divisors (5370316).

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

3406900 is a wasteful number, since it uses less digits than its factorization.

3406900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 3406900 is about 1845.7789683491. The cubic root of 3406900 is about 150.4711114038.

The spelling of 3406900 in words is "three million, four hundred six thousand, nine hundred".