3257362997352 has 320 divisors, whose sum is σ = 9418368960000. Its totient is φ = 1051391352960.

The previous prime is 3257362997341. The next prime is 3257362997363. The reversal of 3257362997352 is 2537992637523.

3257362997352 is a `hidden beast` number, since 3 + 2 + 573 + 6 + 2 + 9 + 9 + 7 + 3 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (3257362997341) and next prime (3257362997363).

It is a super-2 number, since 2×3257362997352² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3257362997352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 696164149 + ... + 696168827.

It is an arithmetic number, because the mean of its divisors is an integer number (29432403000).

Almost surely, 2^{3257362997352} 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 3257362997352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709184480000).

3257362997352 is an abundant number, since it is smaller than the sum of its proper divisors (6161005962648).

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

3257362997352 is a wasteful number, since it uses less digits than its factorization.

3257362997352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5026 (or 5013 counting only the distinct ones).

The product of its digits is 128595600, while the sum is 63.

The spelling of 3257362997352 in words is "three trillion, two hundred fifty-seven billion, three hundred sixty-two million, nine hundred ninety-seven thousand, three hundred fifty-two".