3386304900 has 288 divisors, whose sum is σ = 11992982400. Its totient is φ = 812851200.

The previous prime is 3386304899. The next prime is 3386304907. The reversal of 3386304900 is 94036833.

3386304900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3386304900² = 22934121751528020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3386304907) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3355596 + ... + 3356604.

It is an arithmetic number, because the mean of its divisors is an integer number (41642300).

Almost surely, 2^3386304900 is an apocalyptic number.

3386304900 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 3386304900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996491200).

3386304900 is an abundant number, since it is smaller than the sum of its proper divisors (8606677500).

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

3386304900 is a wasteful number, since it uses less digits than its factorization.

3386304900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3386304900 is about 58191.9659403255. The cubic root of 3386304900 is about 1501.6729335020.

The spelling of 3386304900 in words is "three billion, three hundred eighty-six million, three hundred four thousand, nine hundred".