3109937199040 has 448 divisors, whose sum is σ = 8994096921600. Its totient is φ = 1001796009984.

The previous prime is 3109937199037. The next prime is 3109937199041. The reversal of 3109937199040 is 409917399013.

It is a happy number.

3109937199040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3109937199041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 361238256 + ... + 361246864.

It is an arithmetic number, because the mean of its divisors is an integer number (20076109200).

Almost surely, 2^{3109937199040} 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 3109937199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497048460800).

3109937199040 is an abundant number, since it is smaller than the sum of its proper divisors (5884159722560).

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

3109937199040 is a wasteful number, since it uses less digits than its factorization.

3109937199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8812 (or 8802 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 55.

The spelling of 3109937199040 in words is "three trillion, one hundred nine billion, nine hundred thirty-seven million, one hundred ninety-nine thousand, forty".