3342191880960 has 720 divisors, whose sum is σ = 12638216828160. Its totient is φ = 841002393600.

The previous prime is 3342191880949. The next prime is 3342191881009. The reversal of 3342191880960 is 690881912433.

3342191880960 is a `hidden beast` number, since 33 + 421 + 9 + 188 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3342191880960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3342191880897 and 3342191880906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 518085735 + ... + 518092185.

It is an arithmetic number, because the mean of its divisors is an integer number (17553078928).

Almost surely, 2^{3342191880960} is an apocalyptic number.

3342191880960 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 3342191880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319108414080).

3342191880960 is an abundant number, since it is smaller than the sum of its proper divisors (9296024947200).

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

3342191880960 is a wasteful number, since it uses less digits than its factorization.

3342191880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766 (or 6743 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 3342191880960 in words is "three trillion, three hundred forty-two billion, one hundred ninety-one million, eight hundred eighty thousand, nine hundred sixty".