3491750642688 has 396 divisors, whose sum is σ = 12665465001280. Its totient is φ = 906946191360.

The previous prime is 3491750642683. The next prime is 3491750642759. The reversal of 3491750642688 is 8862460571943.

3491750642688 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 7 + 506 + 42 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a super-2 number, since 2×3491750642688² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3491750642683) 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 35 ways as a sum of consecutive naturals, for example, 7582293 + ... + 8029611.

It is a 1-persistent number, because it is pandigital, but 2⋅3491750642688 = 6983501285376 is not.

Almost surely, 2^{3491750642688} 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 3491750642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332732500640).

3491750642688 is an abundant number, since it is smaller than the sum of its proper divisors (9173714358592).

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

3491750642688 is a wasteful number, since it uses less digits than its factorization.

3491750642688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447374 (or 447342 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

It can be divided in two parts, 34917 and 50642688, that added together give a palindrome (50677605).

The spelling of 3491750642688 in words is "three trillion, four hundred ninety-one billion, seven hundred fifty million, six hundred forty-two thousand, six hundred eighty-eight".