3444115615000 has 80 divisors (see below), whose sum is σ = 8071063870320. Its totient is φ = 1377390000000.

The previous prime is 3444115614997. The next prime is 3444115615013. The reversal of 3444115615000 is 5165114443.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28053750 + ... + 28176250.

It is an arithmetic number, because the mean of its divisors is an integer number (100888298379).

Almost surely, 2^{3444115615000} 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 3444115615000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035531935160).

3444115615000 is an abundant number, since it is smaller than the sum of its proper divisors (4626948255320).

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

3444115615000 is a wasteful number, since it uses less digits than its factorization.

3444115615000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128150 (or 128131 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 3444115615000 in words is "three trillion, four hundred forty-four billion, one hundred fifteen million, six hundred fifteen thousand".