3468864 has 112 divisors (see below), whose sum is σ = 10972800. Its totient is φ = 946176.

The previous prime is 3468863. The next prime is 3468877. The reversal of 3468864 is 4688643.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3468863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38932 + ... + 39020.

Almost surely, 2^3468864 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 3468864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486400).

3468864 is an abundant number, since it is smaller than the sum of its proper divisors (7503936).

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

3468864 is a wasteful number, since it uses less digits than its factorization.

3468864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 3468864 is about 1862.4886576836. The cubic root of 3468864 is about 151.3778819643.

The spelling of 3468864 in words is "three million, four hundred sixty-eight thousand, eight hundred sixty-four".