3406000 has 80 divisors (see below), whose sum is σ = 8936928. Its totient is φ = 1248000.

The previous prime is 3405979. The next prime is 3406003. The reversal of 3406000 is 6043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25935 + ... + 26065.

Almost surely, 2^3406000 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 3406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468464).

3406000 is an abundant number, since it is smaller than the sum of its proper divisors (5530928).

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

3406000 is a wasteful number, since it uses less digits than its factorization.

3406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3406000 is about 1845.5351527403. The cubic root of 3406000 is about 150.4578602638.

The spelling of 3406000 in words is "three million, four hundred six thousand".