3444723016800 has 288 divisors, whose sum is σ = 12355899671808. Its totient is φ = 828212152320.

The previous prime is 3444723016789. The next prime is 3444723016817. The reversal of 3444723016800 is 86103274443.

It is a super-2 number, since 2×3444723016800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57789 + ... + 2625411.

It is an arithmetic number, because the mean of its divisors is an integer number (42902429416).

Almost surely, 2^{3444723016800} is an apocalyptic number.

3444723016800 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 3444723016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177949835904).

3444723016800 is an abundant number, since it is smaller than the sum of its proper divisors (8911176655008).

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

3444723016800 is a wasteful number, since it uses less digits than its factorization.

3444723016800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567702 (or 2567689 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 3444723016800 in words is "three trillion, four hundred forty-four billion, seven hundred twenty-three million, sixteen thousand, eight hundred".