3389747356800 has 2688 divisors, whose sum is σ = 15119321051520. Its totient is φ = 734552064000.

The previous prime is 3389747356733. The next prime is 3389747356859. The reversal of 3389747356800 is 86537479833.

3389747356800 is a `hidden beast` number, since 3 + 3 + 89 + 7 + 473 + 5 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×3389747356800² (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 an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 40840329559 + ... + 40840329641.

It is an arithmetic number, because the mean of its divisors is an integer number (5624747415).

Almost surely, 2^{3389747356800} is an apocalyptic number.

3389747356800 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 3389747356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7559660525760).

3389747356800 is an abundant number, since it is smaller than the sum of its proper divisors (11729573694720).

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

3389747356800 is an equidigital number, since it uses as much as digits as its factorization.

3389747356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 3389747356800 in words is "three trillion, three hundred eighty-nine billion, seven hundred forty-seven million, three hundred fifty-six thousand, eight hundred".