3454721280000 has 1440 divisors, whose sum is σ = 13410927129600. Its totient is φ = 887169024000.

The previous prime is 3454721279963. The next prime is 3454721280001. The reversal of 3454721280000 is 821274543.

It is a happy number.

3454721280000 is a `hidden beast` number, since 34 + 547 + 2 + 1 + 2 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3454721280001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9020159809 + ... + 9020160191.

It is an arithmetic number, because the mean of its divisors is an integer number (9313143840).

Almost surely, 2^{3454721280000} is an apocalyptic number.

3454721280000 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 3454721280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6705463564800).

3454721280000 is an abundant number, since it is smaller than the sum of its proper divisors (9956205849600).

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

3454721280000 is an frugal number, since it uses more digits than its factorization.

3454721280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 3454721280000 in words is "three trillion, four hundred fifty-four billion, seven hundred twenty-one million, two hundred eighty thousand".