3350066040 has 192 divisors, whose sum is σ = 11329718400. Its totient is φ = 890289792.

The previous prime is 3350065981. The next prime is 3350066077. The reversal of 3350066040 is 406600533.

3350066040 is a `hidden beast` number, since 3 + 3 + 50 + 0 + 6 + 604 + 0 = 666.

It is a super-2 number, since 2×3350066040² = 22445884944722563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3350065995 and 3350066013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5083231 + ... + 5083889.

It is an arithmetic number, because the mean of its divisors is an integer number (59008950).

Almost surely, 2^3350066040 is an apocalyptic number.

3350066040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3350066040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5664859200).

3350066040 is an abundant number, since it is smaller than the sum of its proper divisors (7979652360).

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

3350066040 is a wasteful number, since it uses less digits than its factorization.

3350066040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3350066040 is about 57879.7550098478. The cubic root of 3350066040 is about 1496.2969457824.

Adding to 3350066040 its reverse (406600533), we get a palindrome (3756666573).

The spelling of 3350066040 in words is "three billion, three hundred fifty million, sixty-six thousand, forty".