3384846720 has 192 divisors, whose sum is σ = 11751012000. Its totient is φ = 897785856.

The previous prime is 3384846701. The next prime is 3384846743. The reversal of 3384846720 is 276484833.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3384846720² = 22914374635789516800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 1144764 + ... + 1147716.

Almost surely, 2^3384846720 is an apocalyptic number.

3384846720 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 3384846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875506000).

3384846720 is an abundant number, since it is smaller than the sum of its proper divisors (8366165280).

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

3384846720 is a wasteful number, since it uses less digits than its factorization.

3384846720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3384846720 is about 58179.4355421226. The cubic root of 3384846720 is about 1501.4573569486.

The spelling of 3384846720 in words is "three billion, three hundred eighty-four million, eight hundred forty-six thousand, seven hundred twenty".