3384884200 has 96 divisors (see below), whose sum is σ = 8321788800. Its totient is φ = 1276853760.

The previous prime is 3384884197. The next prime is 3384884201. The reversal of 3384884200 is 24884833.

3384884200 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-3 number, since 3×3384884200³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3384884201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 883489 + ... + 887311.

It is an arithmetic number, because the mean of its divisors is an integer number (86685300).

Almost surely, 2^3384884200 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 3384884200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160894400).

3384884200 is an abundant number, since it is smaller than the sum of its proper divisors (4936904600).

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

3384884200 is a wasteful number, since it uses less digits than its factorization.

3384884200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4091 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 3384884200 is about 58179.7576481718. The cubic root of 3384884200 is about 1501.4628987470.

The spelling of 3384884200 in words is "three billion, three hundred eighty-four million, eight hundred eighty-four thousand, two hundred".