3444199678640 has 320 divisors, whose sum is σ = 9972218880000. Its totient is φ = 1103361960960.

The previous prime is 3444199678631. The next prime is 3444199678663. The reversal of 3444199678640 is 468769914443.

It is a super-2 number, since 2×3444199678640² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24598751 + ... + 24738369.

It is an arithmetic number, because the mean of its divisors is an integer number (31163184000).

Almost surely, 2^{3444199678640} 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 3444199678640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986109440000).

3444199678640 is an abundant number, since it is smaller than the sum of its proper divisors (6528019201360).

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

3444199678640 is a wasteful number, since it uses less digits than its factorization.

3444199678640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139713 (or 139693 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 65.

The spelling of 3444199678640 in words is "three trillion, four hundred forty-four billion, one hundred ninety-nine million, six hundred seventy-eight thousand, six hundred forty".