3389333818752 has 640 divisors, whose sum is σ = 11919220346880. Its totient is φ = 935583436800.

The previous prime is 3389333818733. The next prime is 3389333818757. The reversal of 3389333818752 is 2578183339833.

It is a happy number.

3389333818752 is a `hidden beast` number, since 3 + 38 + 93 + 338 + 187 + 5 + 2 = 666.

It is a super-2 number, since 2×3389333818752² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3389333818752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3389333818757) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2243105677 + ... + 2243107187.

It is an arithmetic number, because the mean of its divisors is an integer number (18623781792).

Almost surely, 2^{3389333818752} is an apocalyptic number.

3389333818752 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 3389333818752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959610173440).

3389333818752 is an abundant number, since it is smaller than the sum of its proper divisors (8529886528128).

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

3389333818752 is a wasteful number, since it uses less digits than its factorization.

3389333818752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2551 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 3389333818752 in words is "three trillion, three hundred eighty-nine billion, three hundred thirty-three million, eight hundred eighteen thousand, seven hundred fifty-two".