3496968 has 48 divisors (see below), whose sum is σ = 10031580. Its totient is φ = 1096704.

The previous prime is 3496957. The next prime is 3496973. The reversal of 3496968 is 8696943.

It can be written as a sum of positive squares in 2 ways, for example, as 3305124 + 191844 = 1818^2 + 438^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205 + ... + 2652.

Almost surely, 2^3496968 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 3496968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015790).

3496968 is an abundant number, since it is smaller than the sum of its proper divisors (6534612).

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

3496968 is a wasteful number, since it uses less digits than its factorization.

3496968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2879 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 3496968 is about 1870.0181817298. The cubic root of 3496968 is about 151.7855933669.

The spelling of 3496968 in words is "three million, four hundred ninety-six thousand, nine hundred sixty-eight".