3406464 has 48 divisors (see below), whose sum is σ = 9805770. Its totient is φ = 1135104.

The previous prime is 3406463. The next prime is 3406489. The reversal of 3406464 is 4646043.

It is a happy number.

3406464 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., 3240000 + 166464 = 1800^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3406463) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 327 + ... + 2630.

Almost surely, 2^3406464 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 3406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4902885).

3406464 is an abundant number, since it is smaller than the sum of its proper divisors (6399306).

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

3406464 is a wasteful number, since it uses less digits than its factorization.

3406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3406464 is about 1845.6608572541. The cubic root of 3406464 is about 150.4646922541.

The spelling of 3406464 in words is "three million, four hundred six thousand, four hundred sixty-four".