3337668 has 72 divisors (see below), whose sum is σ = 9172800. Its totient is φ = 1020096.

The previous prime is 3337643. The next prime is 3337669. The reversal of 3337668 is 8667333.

It is a super-2 number, since 2×3337668² = 22280055356448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3337669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23943 + ... + 24081.

It is an arithmetic number, because the mean of its divisors is an integer number (127400).

Almost surely, 2^3337668 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 3337668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586400).

3337668 is an abundant number, since it is smaller than the sum of its proper divisors (5835132).

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

3337668 is a wasteful number, since it uses less digits than its factorization.

3337668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 196 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3337668 is about 1826.9285700322. The cubic root of 3337668 is about 149.4448814905. Note that the first 3 decimals are identical.

It can be divided in two parts, 3337 and 668, that added together give a triangular number (4005 = T₈₉).

The spelling of 3337668 in words is "three million, three hundred thirty-seven thousand, six hundred sixty-eight".