3497792268800 has 240 divisors, whose sum is σ = 9193731387192. Its totient is φ = 1314245836800.

The previous prime is 3497792268799. The next prime is 3497792268847. The reversal of 3497792268800 is 88622977943.

It can be written as a sum of positive squares in 12 ways, for example, as 13208445184 + 3484583823616 = 114928^2 + 1866704^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 113354174 + ... + 113385026.

Almost surely, 2^{3497792268800} 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 3497792268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596865693596).

3497792268800 is an abundant number, since it is smaller than the sum of its proper divisors (5695939118392).

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

3497792268800 is a wasteful number, since it uses less digits than its factorization.

3497792268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31419 (or 31398 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 65.

It can be divided in two parts, 3497 and 792268800, that added together give a palindrome (792272297).

The spelling of 3497792268800 in words is "three trillion, four hundred ninety-seven billion, seven hundred ninety-two million, two hundred sixty-eight thousand, eight hundred".