3456288 has 72 divisors (see below), whose sum is σ = 10732176. Its totient is φ = 1046400.

The previous prime is 3456269. The next prime is 3456301. The reversal of 3456288 is 8826543.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2623 + ... + 3713.

It is an arithmetic number, because the mean of its divisors is an integer number (149058).

Almost surely, 2^3456288 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 3456288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366088).

3456288 is an abundant number, since it is smaller than the sum of its proper divisors (7275888).

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

3456288 is a wasteful number, since it uses less digits than its factorization.

3456288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1107 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 3456288 is about 1859.1094642328. The cubic root of 3456288 is about 151.1947256076.

The spelling of 3456288 in words is "three million, four hundred fifty-six thousand, two hundred eighty-eight".