3409792 has 32 divisors (see below), whose sum is σ = 7197120. Its totient is φ = 1603584.

The previous prime is 3409789. The next prime is 3409801. The reversal of 3409792 is 2979043.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1393 + ... + 2959.

It is an arithmetic number, because the mean of its divisors is an integer number (224910).

Almost surely, 2^3409792 is an apocalyptic number.

3409792 is a gapful number since it is divisible by the number (32) 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 3409792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598560).

3409792 is an abundant number, since it is smaller than the sum of its proper divisors (3787328).

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

3409792 is a wasteful number, since it uses less digits than its factorization.

3409792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 3409792 is about 1846.5622112455. The cubic root of 3409792 is about 150.5136759425.

The spelling of 3409792 in words is "three million, four hundred nine thousand, seven hundred ninety-two".