3428496 has 60 divisors (see below), whose sum is σ = 9937980. Its totient is φ = 1102080.

The previous prime is 3428489. The next prime is 3428497. The reversal of 3428496 is 6948243.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1354896 + 2073600 = 1164^2 + 1440^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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

Its product of digits (41472) is a multiple of the sum of its prime factors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 3428496.

It is not an unprimeable number, because it can be changed into a prime (3428497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3766 + ... + 4586.

It is an arithmetic number, because the mean of its divisors is an integer number (165633).

Almost surely, 2^3428496 is an apocalyptic number.

3428496 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 3428496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968990).

3428496 is an abundant number, since it is smaller than the sum of its proper divisors (6509484).

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

3428496 is a wasteful number, since it uses less digits than its factorization.

3428496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 855 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3428496 is about 1851.6198313909. The cubic root of 3428496 is about 150.7883824281.

The spelling of 3428496 in words is "three million, four hundred twenty-eight thousand, four hundred ninety-six".