3342668109120 has 1344 divisors, whose sum is σ = 13185852825600. Its totient is φ = 802722078720.

The previous prime is 3342668109113. The next prime is 3342668109191. The reversal of 3342668109120 is 219018662433.

3342668109120 is a `hidden beast` number, since 33 + 426 + 68 + 10 + 9 + 120 = 666.

It is a super-2 number, since 2×3342668109120² (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 191 ways as a sum of consecutive naturals, for example, 2702237142 + ... + 2702238378.

It is an arithmetic number, because the mean of its divisors is an integer number (9810902400).

Almost surely, 2^{3342668109120} is an apocalyptic number.

3342668109120 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 3342668109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592926412800).

3342668109120 is an abundant number, since it is smaller than the sum of its proper divisors (9843184716480).

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

3342668109120 is a wasteful number, since it uses less digits than its factorization.

3342668109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 3342668109120 in words is "three trillion, three hundred forty-two billion, six hundred sixty-eight million, one hundred nine thousand, one hundred twenty".