3413664 has 72 divisors (see below), whose sum is σ = 10090080. Its totient is φ = 1135296.

The previous prime is 3413639. The next prime is 3413671. The reversal of 3413664 is 4663143.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7557 + ... + 7995.

It is an arithmetic number, because the mean of its divisors is an integer number (140140).

Almost surely, 2^3413664 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 3413664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045040).

3413664 is an abundant number, since it is smaller than the sum of its proper divisors (6676416).

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

3413664 is an equidigital number, since it uses as much as digits as its factorization.

3413664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 444 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3413664 is about 1847.6103485313. The cubic root of 3413664 is about 150.5706264835.

It can be divided in two parts, 341 and 3664, that added together give a triangular number (4005 = T₈₉).

The spelling of 3413664 in words is "three million, four hundred thirteen thousand, six hundred sixty-four".