3412864 has 64 divisors (see below), whose sum is σ = 8396640. Its totient is φ = 1345536.

The previous prime is 3412861. The next prime is 3412907. The reversal of 3412864 is 4682143.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412861) 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 7 ways as a sum of consecutive naturals, for example, 11502 + ... + 11794.

Almost surely, 2^3412864 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 3412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198320).

3412864 is an abundant number, since it is smaller than the sum of its proper divisors (4983776).

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

3412864 is a wasteful number, since it uses less digits than its factorization.

3412864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 3412864 is about 1847.3938399811. The cubic root of 3412864 is about 150.5588633738.

The spelling of 3412864 in words is "three million, four hundred twelve thousand, eight hundred sixty-four".