3328776 has 80 divisors (see below), whose sum is σ = 10193040. Its totient is φ = 1006560.

The previous prime is 3328763. The next prime is 3328777. The reversal of 3328776 is 6778233.

It is a super-2 number, since 2×3328776² = 22161499316352, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 3² + 3² + 2¹¹ + 8 + 7⁷ + 7⁷ + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 3328776.

It is not an unprimeable number, because it can be changed into a prime (3328777) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6895 + ... + 7361.

It is an arithmetic number, because the mean of its divisors is an integer number (127413).

Almost surely, 2^3328776 is an apocalyptic number.

3328776 is a gapful number since it is divisible by the number (36) 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 3328776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096520).

3328776 is an abundant number, since it is smaller than the sum of its proper divisors (6864264).

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

3328776 is a wasteful number, since it uses less digits than its factorization.

3328776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 483 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 3328776 is about 1824.4933543316. The cubic root of 3328776 is about 149.3120496524.

The spelling of 3328776 in words is "three million, three hundred twenty-eight thousand, seven hundred seventy-six".