3341664 has 72 divisors (see below), whose sum is σ = 9769032. Its totient is φ = 1082880.

The previous prime is 3341627. The next prime is 3341669. The reversal of 3341664 is 4661433.

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

It is a super-2 number, since 2×3341664² = 22333436577792, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3341669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11667 + ... + 11949.

It is an arithmetic number, because the mean of its divisors is an integer number (135681).

Almost surely, 2^3341664 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 3341664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4884516).

3341664 is an abundant number, since it is smaller than the sum of its proper divisors (6427368).

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

3341664 is a wasteful number, since it uses less digits than its factorization.

3341664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 329 counting only the distinct ones).

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

The square root of 3341664 is about 1828.0218817071. The cubic root of 3341664 is about 149.5044983229.

It can be divided in two parts, 3341 and 664, that added together give a triangular number (4005 = T₈₉).

The spelling of 3341664 in words is "three million, three hundred forty-one thousand, six hundred sixty-four".