3333960006 has 48 divisors (see below), whose sum is σ = 7241749200. Its totient is φ = 1022785920.

The previous prime is 3333959987. The next prime is 3333960013. The reversal of 3333960006 is 6000693333.

3333960006 = 5280² + 5281² + ... + 5396².

It is a super-2 number, since 2×3333960006² = 22230578643215040072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349176 + ... + 358596.

It is an arithmetic number, because the mean of its divisors is an integer number (150869775).

Almost surely, 2^3333960006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3333960006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620874600).

3333960006 is an abundant number, since it is smaller than the sum of its proper divisors (3907789194).

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

3333960006 is a wasteful number, since it uses less digits than its factorization.

3333960006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9801 (or 9788 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 33.

The square root of 3333960006 is about 57740.4538084002. The cubic root of 3333960006 is about 1493.8951887820.

It can be divided in two parts, 333396000 and 6, that multiplied together give a cube (2000376000 = 1260³).

The spelling of 3333960006 in words is "three billion, three hundred thirty-three million, nine hundred sixty thousand, six".