3243451797504 has 520 divisors, whose sum is σ = 10009864300040. Its totient is φ = 1046479896576.

The previous prime is 3243451797503. The next prime is 3243451797527. The reversal of 3243451797504 is 4057971543423.

3243451797504 is a `hidden beast` number, since 3 + 2 + 4 + 3 + 45 + 1 + 7 + 97 + 504 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 878253871104 + 2365197926400 = 937152^2 + 1537920^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3243451797503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16805449632 + ... + 16805449824.

Almost surely, 2^{3243451797504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3243451797504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004932150020).

3243451797504 is an abundant number, since it is smaller than the sum of its proper divisors (6766412502536).

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

3243451797504 is an frugal number, since it uses more digits than its factorization.

3243451797504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

It can be divided in two parts, 324 and 3451797504, that multiplied together give a square (1118382391296 = 1057536²).

The spelling of 3243451797504 in words is "three trillion, two hundred forty-three billion, four hundred fifty-one million, seven hundred ninety-seven thousand, five hundred four".