3429024 has 48 divisors (see below), whose sum is σ = 9398592. Its totient is φ = 1092608.

The previous prime is 3429017. The next prime is 3429067. The reversal of 3429024 is 4209243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3428985 and 3429003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1432 + ... + 2984.

It is an arithmetic number, because the mean of its divisors is an integer number (195804).

Almost surely, 2^3429024 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 3429024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4699296).

3429024 is an abundant number, since it is smaller than the sum of its proper divisors (5969568).

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

3429024 is a wasteful number, since it uses less digits than its factorization.

3429024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3429024 is about 1851.7624037657. The cubic root of 3429024 is about 150.7961226714.

The spelling of 3429024 in words is "three million, four hundred twenty-nine thousand, twenty-four".