3337873668 has 72 divisors (see below), whose sum is σ = 8738173080. Its totient is φ = 1073049600.

The previous prime is 3337873631. The next prime is 3337873691. The reversal of 3337873668 is 8663787333.

3337873668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 655462404 + 2682411264 = 25602^2 + 51792^2 .

It is a super-2 number, since 2×3337873668² = 22282801247055548448, which contains 22 as substring.

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, 1670446 + ... + 1672442.

It is an arithmetic number, because the mean of its divisors is an integer number (121363515).

Almost surely, 2^3337873668 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 3337873668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369086540).

3337873668 is an abundant number, since it is smaller than the sum of its proper divisors (5400299412).

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

3337873668 is a wasteful number, since it uses less digits than its factorization.

3337873668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3632 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The square root of 3337873668 is about 57774.3339901033. Note that the first 3 decimals coincide. The cubic root of 3337873668 is about 1494.4795103876.

The spelling of 3337873668 in words is "three billion, three hundred thirty-seven million, eight hundred seventy-three thousand, six hundred sixty-eight".