3377728 has 28 divisors (see below), whose sum is σ = 6789420. Its totient is φ = 1667072.

The previous prime is 3377723. The next prime is 3377741. The reversal of 3377728 is 8277733.

It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 2050624 = 1152^2 + 1432^2 .

It is a super-2 number, since 2×3377728² = 22818092883968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3377723) 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, 5400 + ... + 5992.

Almost surely, 2^3377728 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 3377728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394710).

3377728 is an abundant number, since it is smaller than the sum of its proper divisors (3411692).

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

3377728 is an equidigital number, since it uses as much as digits as its factorization.

3377728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 684 counting only the distinct ones).

The product of its digits is 49392, while the sum is 37.

The square root of 3377728 is about 1837.8596246721. The cubic root of 3377728 is about 150.0404039307.

The spelling of 3377728 in words is "three million, three hundred seventy-seven thousand, seven hundred twenty-eight".