3459072 has 48 divisors (see below), whose sum is σ = 9238320. Its totient is φ = 1150976.

The previous prime is 3459037. The next prime is 3459077. The reversal of 3459072 is 2709543.

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

It is not an unprimeable number, because it can be changed into a prime (3459077) 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, 5863 + ... + 6425.

It is an arithmetic number, because the mean of its divisors is an integer number (192465).

Almost surely, 2^3459072 is an apocalyptic number.

3459072 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 3459072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619160).

3459072 is an abundant number, since it is smaller than the sum of its proper divisors (5779248).

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

3459072 is an equidigital number, since it uses as much as digits as its factorization.

3459072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 3459072 is about 1859.8580591002. The cubic root of 3459072 is about 151.2353099136.

The spelling of 3459072 in words is "three million, four hundred fifty-nine thousand, seventy-two".