3357006 has 16 divisors (see below), whose sum is σ = 6766848. Its totient is φ = 1110200.

The previous prime is 3357001. The next prime is 3357019. The reversal of 3357006 is 6007533.

It is a super-3 number, since 3×3357006³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3357001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1350 + ... + 2921.

It is an arithmetic number, because the mean of its divisors is an integer number (422928).

Almost surely, 2^3357006 is an apocalyptic number.

3357006 is an abundant number, since it is smaller than the sum of its proper divisors (3409842).

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

3357006 is a wasteful number, since it uses less digits than its factorization.

3357006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4407.

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 3357006 is about 1832.2134155169. The cubic root of 3357006 is about 149.7329470559.

The spelling of 3357006 in words is "three million, three hundred fifty-seven thousand, six".