3396288 has 126 divisors (see below), whose sum is σ = 11032236. Its totient is φ = 919296.

The previous prime is 3396259. The next prime is 3396313. The reversal of 3396288 is 8826933.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 178743 + ... + 178761.

Almost surely, 2^3396288 is an apocalyptic number.

3396288 is a gapful number since it is divisible by the number (38) 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 3396288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5516118).

3396288 is an abundant number, since it is smaller than the sum of its proper divisors (7635948).

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

3396288 is a wasteful number, since it uses less digits than its factorization.

3396288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 31 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 3396288 is about 1842.9020592533. The cubic root of 3396288 is about 150.3147170040.

Multiplying 3396288 by its product of digits (62208), we get a square (211276283904 = 459648²).

The spelling of 3396288 in words is "three million, three hundred ninety-six thousand, two hundred eighty-eight".