3075337424896 has 351 divisors, whose sum is σ = 7039494500773. Its totient is φ = 1342324572160.

The previous prime is 3075337424893. The next prime is 3075337424897. The reversal of 3075337424896 is 6984247335703.

It is a happy number.

The square root of 3075337424896 is 1753664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2217001881600 + 858335543296 = 1488960^2 + 926464^2 .

It is a super-2 number, since 2×3075337424896² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3075337424893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58025234406 + ... + 58025234458.

Almost surely, 2^{3075337424896} is an apocalyptic number.

3075337424896 is the 1753664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3075337424896

3075337424896 is an abundant number, since it is smaller than the sum of its proper divisors (3964157075877).

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

3075337424896 is an frugal number, since it uses more digits than its factorization.

3075337424896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 61.

The spelling of 3075337424896 in words is "three trillion, seventy-five billion, three hundred thirty-seven million, four hundred twenty-four thousand, eight hundred ninety-six".