3384847872 has 480 divisors, whose sum is σ = 12315283200. Its totient is φ = 912715776.

The previous prime is 3384847811. The next prime is 3384847919. The reversal of 3384847872 is 2787484833.

It is a super-2 number, since 2×3384847872² = 22914390233165856768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (7225344) is a multiple of the sum of its prime divisors (294).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12870013 + ... + 12870275.

It is an arithmetic number, because the mean of its divisors is an integer number (25656840).

Almost surely, 2^3384847872 is an apocalyptic number.

3384847872 is a gapful number since it is divisible by the number (32) 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 3384847872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6157641600).

3384847872 is an abundant number, since it is smaller than the sum of its proper divisors (8930435328).

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

3384847872 is a wasteful number, since it uses less digits than its factorization.

3384847872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 294 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 3384847872 is about 58179.4454425272. The cubic root of 3384847872 is about 1501.4575272841.

The spelling of 3384847872 in words is "three billion, three hundred eighty-four million, eight hundred forty-seven thousand, eight hundred seventy-two".