3468032 has 72 divisors (see below), whose sum is σ = 7848960. Its totient is φ = 1520640.

The previous prime is 3468029. The next prime is 3468061. The reversal of 3468032 is 2308643.

It is a junction number, because it is equal to n+sod(n) for n = 3467992 and 3468010.

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, 111857 + ... + 111887.

Almost surely, 2^3468032 is an apocalyptic number.

3468032 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 3468032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924480).

3468032 is an abundant number, since it is smaller than the sum of its proper divisors (4380928).

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

3468032 is a wasteful number, since it uses less digits than its factorization.

3468032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 3468032 is about 1862.2652872241. The cubic root of 3468032 is about 151.3657784372.

The spelling of 3468032 in words is "three million, four hundred sixty-eight thousand, thirty-two".