3345984 has 84 divisors (see below), whose sum is σ = 9912604. Its totient is φ = 1078272.

The previous prime is 3345967. The next prime is 3345989. The reversal of 3345984 is 4895433.

It can be written as a sum of positive squares in 2 ways, for example, as 2073600 + 1272384 = 1440^2 + 1128^2 .

It is a super-2 number, since 2×3345984² = 22391217856512, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21234 + ... + 21390.

Almost surely, 2^3345984 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 3345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4956302).

3345984 is an abundant number, since it is smaller than the sum of its proper divisors (6566620).

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

3345984 is a wasteful number, since it uses less digits than its factorization.

3345984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 199 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3345984 is about 1829.2031051800. The cubic root of 3345984 is about 149.5688955131.

The spelling of 3345984 in words is "three million, three hundred forty-five thousand, nine hundred eighty-four".