3444627430000 has 200 divisors, whose sum is σ = 8707418359200. Its totient is φ = 1317182592000.

The previous prime is 3444627429989. The next prime is 3444627430007. The reversal of 3444627430000 is 347264443.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444627430007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 549466866 + ... + 549473134.

It is an arithmetic number, because the mean of its divisors is an integer number (43537091796).

Almost surely, 2^{3444627430000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444627430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353709179600).

3444627430000 is an abundant number, since it is smaller than the sum of its proper divisors (5262790929200).

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

3444627430000 is a wasteful number, since it uses less digits than its factorization.

3444627430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8709 (or 8688 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 37.

The spelling of 3444627430000 in words is "three trillion, four hundred forty-four billion, six hundred twenty-seven million, four hundred thirty thousand".