3509968 has 90 divisors (see below), whose sum is σ = 8930418. Its totient is φ = 1330560.

The previous prime is 3509951. The next prime is 3509981. The reversal of 3509968 is 8699053.

3509968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3415104 + 94864 = 1848^2 + 308^2 .

It is a super-2 number, since 2×3509968² = 24639750722048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3509968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 94846 + ... + 94882.

Almost surely, 2^3509968 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 3509968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4465209).

3509968 is an abundant number, since it is smaller than the sum of its proper divisors (5420450).

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

3509968 is a wasteful number, since it uses less digits than its factorization.

3509968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 3509968 is about 1873.4908593319. The cubic root of 3509968 is about 151.9734487326.

The spelling of 3509968 in words is "three million, five hundred nine thousand, nine hundred sixty-eight".