3386718720000 has 3120 divisors, whose sum is σ = 16095077526528. Its totient is φ = 665026560000.

The previous prime is 3386718719983. The next prime is 3386718720043. The reversal of 3386718720000 is 278176833.

It is a super-2 number, since 2×3386718720000² (a number of 26 digits) contains 22 as substring.

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

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 239 ways as a sum of consecutive naturals, for example, 40803839959 + ... + 40803840041.

Almost surely, 2^{3386718720000} is an apocalyptic number.

3386718720000 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 3386718720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8047538763264).

3386718720000 is an abundant number, since it is smaller than the sum of its proper divisors (12708358806528).

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

3386718720000 is a wasteful number, since it uses less digits than its factorization.

3386718720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 3386718720000 in words is "three trillion, three hundred eighty-six billion, seven hundred eighteen million, seven hundred twenty thousand".