3073267322112 has 576 divisors, whose sum is σ = 9400215896064. Its totient is φ = 884501544960.

The previous prime is 3073267322107. The next prime is 3073267322159. The reversal of 3073267322112 is 2112237623703.

It is a super-3 number, since 3×3073267322112³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 1912424413 + ... + 1912426019.

It is an arithmetic number, because the mean of its divisors is an integer number (16319819264).

Almost surely, 2^{3073267322112} is an apocalyptic number.

3073267322112 is a gapful number since it is divisible by the number (32) 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 3073267322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700107948032).

3073267322112 is an abundant number, since it is smaller than the sum of its proper divisors (6326948573952).

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

3073267322112 is a wasteful number, since it uses less digits than its factorization.

3073267322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The spelling of 3073267322112 in words is "three trillion, seventy-three billion, two hundred sixty-seven million, three hundred twenty-two thousand, one hundred twelve".