3368212848000 has 2048 divisors, whose sum is σ = 16659482112000. Its totient is φ = 645967872000.

The previous prime is 3368212847911. The next prime is 3368212848019. The reversal of 3368212848000 is 8482128633.

3368212848000 is a `hidden beast` number, since 3 + 368 + 2 + 1 + 284 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3368212848000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 432428106 + ... + 432435894.

It is an arithmetic number, because the mean of its divisors is an integer number (8134512750).

Almost surely, 2^{3368212848000} is an apocalyptic number.

3368212848000 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 3368212848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8329741056000).

3368212848000 is an abundant number, since it is smaller than the sum of its proper divisors (13291269264000).

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

3368212848000 is a wasteful number, since it uses less digits than its factorization.

3368212848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7858 (or 7830 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 3368212848000 in words is "three trillion, three hundred sixty-eight billion, two hundred twelve million, eight hundred forty-eight thousand".