3344302534272 has 384 divisors, whose sum is σ = 10690980410880. Its totient is φ = 922611916800.

The previous prime is 3344302534271. The next prime is 3344302534291. The reversal of 3344302534272 is 2724352034433.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3344302534272² (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 not an unprimeable number, because it can be changed into a prime (3344302534271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268893238 + ... + 268905674.

It is an arithmetic number, because the mean of its divisors is an integer number (27841094820).

Almost surely, 2^{3344302534272} is an apocalyptic number.

3344302534272 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 3344302534272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5345490205440).

3344302534272 is an abundant number, since it is smaller than the sum of its proper divisors (7346677876608).

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

3344302534272 is a wasteful number, since it uses less digits than its factorization.

3344302534272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12960 (or 12941 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 42.

The spelling of 3344302534272 in words is "three trillion, three hundred forty-four billion, three hundred two million, five hundred thirty-four thousand, two hundred seventy-two".