3496864 has 48 divisors (see below), whose sum is σ = 8019648. Its totient is φ = 1469952.

The previous prime is 3496859. The next prime is 3496877. The reversal of 3496864 is 4686943.

3496864 is nontrivially palindromic in base 15.

3496864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 3¹³ + 4⁸ + 9⁵ + 6² + 8⁵ + 6⁸ + 4⁸ .

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, 14892 + ... + 15124.

It is an arithmetic number, because the mean of its divisors is an integer number (167076).

Almost surely, 2^3496864 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 3496864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009824).

3496864 is an abundant number, since it is smaller than the sum of its proper divisors (4522784).

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

3496864 is a wasteful number, since it uses less digits than its factorization.

3496864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 3496864 is about 1869.9903743068. The cubic root of 3496864 is about 151.7840886483.

The spelling of 3496864 in words is "three million, four hundred ninety-six thousand, eight hundred sixty-four".