3354784 has 24 divisors (see below), whose sum is σ = 6768468. Its totient is φ = 1635840.

The previous prime is 3354781. The next prime is 3354787. The reversal of 3354784 is 4874533.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3354781) and next prime (3354787).

It can be written as a sum of positive squares in 2 ways, for example, as 3027600 + 327184 = 1740^2 + 572^2 .

It is a super-2 number, since 2×3354784² = 22509151373312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3354781) 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, 34 + ... + 2590.

Almost surely, 2^3354784 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 3354784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384234).

3354784 is an abundant number, since it is smaller than the sum of its proper divisors (3413684).

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

3354784 is a wasteful number, since it uses less digits than its factorization.

3354784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2600 counting only the distinct ones).

The product of its digits is 40320, while the sum is 34.

The square root of 3354784 is about 1831.6069447346. The cubic root of 3354784 is about 149.6999037189.

The spelling of 3354784 in words is "three million, three hundred fifty-four thousand, seven hundred eighty-four".