3508964 has 24 divisors (see below), whose sum is σ = 6358968. Its totient is φ = 1693440.

The previous prime is 3508957. The next prime is 3508997. The reversal of 3508964 is 4698053.

3508964 = 37² + 38² + ... + 219².

3508964 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 4 ways, for example, as 652864 + 2856100 = 808^2 + 1690^2 .

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 7 ways as a sum of consecutive naturals, for example, 17714 + ... + 17910.

It is an arithmetic number, because the mean of its divisors is an integer number (264957).

Almost surely, 2^3508964 is an apocalyptic number.

It is an amenable number.

3508964 is a deficient number, since it is larger than the sum of its proper divisors (2850004).

3508964 is a wasteful number, since it uses less digits than its factorization.

3508964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 3508964 is about 1873.2228911691. Note that the first 3 decimals coincide. The cubic root of 3508964 is about 151.9589570627.

It can be divided in two parts, 35089 and 64, that added together give a palindrome (35153).

The spelling of 3508964 in words is "three million, five hundred eight thousand, nine hundred sixty-four".