3444339721200 has 240 divisors, whose sum is σ = 12613625581056. Its totient is φ = 787024051200.

The previous prime is 3444339721159. The next prime is 3444339721213. The reversal of 3444339721200 is 21279334443.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3444339721200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 26655949 + ... + 26784851.

Almost surely, 2^{3444339721200} is an apocalyptic number.

3444339721200 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 3444339721200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306812790528).

3444339721200 is an abundant number, since it is smaller than the sum of its proper divisors (9169285859856).

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

3444339721200 is a wasteful number, since it uses less digits than its factorization.

3444339721200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132112 (or 132101 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 3444339721200 in words is "three trillion, four hundred forty-four billion, three hundred thirty-nine million, seven hundred twenty-one thousand, two hundred".