3386133100 has 288 divisors, whose sum is σ = 9383399424. Its totient is φ = 1034035200.

The previous prime is 3386133097. The next prime is 3386133143. The reversal of 3386133100 is 13316833.

It is a super-2 number, since 2×3386133100² = 22931794741831220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24716232 + ... + 24716368.

It is an arithmetic number, because the mean of its divisors is an integer number (32581248).

Almost surely, 2^3386133100 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 3386133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691699712).

3386133100 is an abundant number, since it is smaller than the sum of its proper divisors (5997266324).

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

3386133100 is a wasteful number, since it uses less digits than its factorization.

3386133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 3386133100 is about 58190.4897728143. The cubic root of 3386133100 is about 1501.6475378982.

Adding to 3386133100 its reverse (13316833), we get a palindrome (3399449933).

The spelling of 3386133100 in words is "three billion, three hundred eighty-six million, one hundred thirty-three thousand, one hundred".