3384576720 has 240 divisors, whose sum is σ = 13080412800. Its totient is φ = 768254976.

The previous prime is 3384576703. The next prime is 3384576743. The reversal of 3384576720 is 276754833.

3384576720 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 576 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3384576720² = 22910719147131916800, 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 748707 + ... + 753213.

It is an arithmetic number, because the mean of its divisors is an integer number (54501720).

Almost surely, 2^3384576720 is an apocalyptic number.

3384576720 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 3384576720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540206400).

3384576720 is an abundant number, since it is smaller than the sum of its proper divisors (9695836080).

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

3384576720 is a wasteful number, since it uses less digits than its factorization.

3384576720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3384576720 is about 58177.1150883232. The cubic root of 3384576720 is about 1501.4174334996.

The spelling of 3384576720 in words is "three billion, three hundred eighty-four million, five hundred seventy-six thousand, seven hundred twenty".