3442120032000 has 288 divisors, whose sum is σ = 12312467818560. Its totient is φ = 847290777600.

The previous prime is 3442120031989. The next prime is 3442120032023. The reversal of 3442120032000 is 2300212443.

3442120032000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131055 + ... + 2627054.

It is an arithmetic number, because the mean of its divisors is an integer number (42751624370).

Almost surely, 2^{3442120032000} is an apocalyptic number.

3442120032000 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 3442120032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156233909280).

3442120032000 is an abundant number, since it is smaller than the sum of its proper divisors (8870347786560).

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

3442120032000 is a wasteful number, since it uses less digits than its factorization.

3442120032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758156 (or 2758132 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 3442120032000 its reverse (2300212443), we get a palindrome (3444420244443).

The spelling of 3442120032000 in words is "three trillion, four hundred forty-two billion, one hundred twenty million, thirty-two thousand".