3426000 has 80 divisors (see below), whose sum is σ = 11064768. Its totient is φ = 912000.

The previous prime is 3425999. The next prime is 3426029. The reversal of 3426000 is 6243.

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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5715 + ... + 6285.

Almost surely, 2^3426000 is an apocalyptic number.

3426000 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 3426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5532384).

3426000 is an abundant number, since it is smaller than the sum of its proper divisors (7638768).

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

3426000 is a wasteful number, since it uses less digits than its factorization.

3426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3426000 is about 1850.9457042280. The cubic root of 3426000 is about 150.7517814255.

The spelling of 3426000 in words is "three million, four hundred twenty-six thousand".