3429846 has 48 divisors (see below), whose sum is σ = 8596224. Its totient is φ = 968112.

The previous prime is 3429821. The next prime is 3429857. The reversal of 3429846 is 6489243.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 3 + 4⁶ + 2 + 9² + 8⁷ + 4¹⁰ + 6⁷ .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3429846.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20455 + ... + 20621.

It is an arithmetic number, because the mean of its divisors is an integer number (179088).

Almost surely, 2^3429846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3429846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298112).

3429846 is an abundant number, since it is smaller than the sum of its proper divisors (5166378).

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

3429846 is a wasteful number, since it uses less digits than its factorization.

3429846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 342 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3429846 is about 1851.9843411865. The cubic root of 3429846 is about 150.8081712416.

The spelling of 3429846 in words is "three million, four hundred twenty-nine thousand, eight hundred forty-six".