3429984 has 24 divisors (see below), whose sum is σ = 9003960. Its totient is φ = 1143296.

The previous prime is 3429983. The next prime is 3429989. The reversal of 3429984 is 4899243.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17769 + ... + 17960.

It is an arithmetic number, because the mean of its divisors is an integer number (375165).

Almost surely, 2^3429984 is an apocalyptic number.

It is an amenable number.

3429984 is an abundant number, since it is smaller than the sum of its proper divisors (5573976).

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

3429984 is a wasteful number, since it uses less digits than its factorization.

3429984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35742 (or 35734 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 3429984 is about 1852.0215981462. The cubic root of 3429984 is about 150.8101938056.

The spelling of 3429984 in words is "three million, four hundred twenty-nine thousand, nine hundred eighty-four".