3459712 has 32 divisors (see below), whose sum is σ = 6976800. Its totient is φ = 1708800.

The previous prime is 3459649. The next prime is 3459713. The reversal of 3459712 is 2179543.

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

It is not an unprimeable number, because it can be changed into a prime (3459713) 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, 19239 + ... + 19417.

It is an arithmetic number, because the mean of its divisors is an integer number (218025).

Almost surely, 2^3459712 is an apocalyptic number.

3459712 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 3459712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488400).

3459712 is an abundant number, since it is smaller than the sum of its proper divisors (3517088).

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

3459712 is a wasteful number, since it uses less digits than its factorization.

3459712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 3459712 is about 1860.0301072832. The cubic root of 3459712 is about 151.2446365605.

The spelling of 3459712 in words is "three million, four hundred fifty-nine thousand, seven hundred twelve".