3481267559952 has 320 divisors, whose sum is σ = 11283333820416. Its totient is φ = 900346337280.

The previous prime is 3481267559941. The next prime is 3481267559953. The reversal of 3481267559952 is 2599557621843.

3481267559952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3481267559953) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 812808403 + ... + 812812685.

Almost surely, 2^{3481267559952} 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 3481267559952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5641666910208).

3481267559952 is an abundant number, since it is smaller than the sum of its proper divisors (7802066260464).

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

3481267559952 is a wasteful number, since it uses less digits than its factorization.

3481267559952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7878 (or 7872 counting only the distinct ones).

The product of its digits is 163296000, while the sum is 66.

The spelling of 3481267559952 in words is "three trillion, four hundred eighty-one billion, two hundred sixty-seven million, five hundred fifty-nine thousand, nine hundred fifty-two".