3346728 has 64 divisors (see below), whose sum is σ = 10437120. Its totient is φ = 868800.

The previous prime is 3346723. The next prime is 3346751. The reversal of 3346728 is 8276433.

It is a super-2 number, since 2×3346728² = 22401176611968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3346723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 943 + ... + 2753.

It is an arithmetic number, because the mean of its divisors is an integer number (163080).

Almost surely, 2^3346728 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 3346728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5218560).

3346728 is an abundant number, since it is smaller than the sum of its proper divisors (7090392).

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

3346728 is a wasteful number, since it uses less digits than its factorization.

3346728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1834 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 3346728 is about 1829.4064611234. The cubic root of 3346728 is about 149.5799805444.

The spelling of 3346728 in words is "three million, three hundred forty-six thousand, seven hundred twenty-eight".