3472950891168 has 384 divisors, whose sum is σ = 11216882073600. Its totient is φ = 1049572442880.

The previous prime is 3472950891167. The next prime is 3472950891217. The reversal of 3472950891168 is 8611980592743.

3472950891168 is a `hidden beast` number, since 3 + 4 + 7 + 2 + 9 + 508 + 9 + 116 + 8 = 666.

It is a super-2 number, since 2×3472950891168² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3472950891167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294836703 + ... + 294848481.

It is an arithmetic number, because the mean of its divisors is an integer number (29210630400).

It is a 2-persistent number, because it is pandigital, and so is 2⋅3472950891168 = 6945901782336, but 3⋅3472950891168 = 10418852673504 is not.

Almost surely, 2^{3472950891168} 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 3472950891168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5608441036800).

3472950891168 is an abundant number, since it is smaller than the sum of its proper divisors (7743931182432).

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

3472950891168 is a wasteful number, since it uses less digits than its factorization.

3472950891168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12204 (or 12178 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 3472950891168 in words is "three trillion, four hundred seventy-two billion, nine hundred fifty million, eight hundred ninety-one thousand, one hundred sixty-eight".