3442729276800 has 1152 divisors, whose sum is σ = 14130940561920. Its totient is φ = 789921792000.

The previous prime is 3442729276799. The next prime is 3442729276837. The reversal of 3442729276800 is 86729272443.

3442729276800 is a `hidden beast` number, since 344 + 2 + 7 + 29 + 276 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 706778365 + ... + 706783235.

It is an arithmetic number, because the mean of its divisors is an integer number (12266441460).

Almost surely, 2^{3442729276800} is an apocalyptic number.

3442729276800 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 3442729276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7065470280960).

3442729276800 is an abundant number, since it is smaller than the sum of its proper divisors (10688211285120).

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

3442729276800 is a wasteful number, since it uses less digits than its factorization.

3442729276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5032 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 3442729276800 in words is "three trillion, four hundred forty-two billion, seven hundred twenty-nine million, two hundred seventy-six thousand, eight hundred".