3481263484288 has 16 divisors (see below), whose sum is σ = 6935329597860. Its totient is φ = 1740631742080.

The previous prime is 3481263484219. The next prime is 3481263484289. The reversal of 3481263484288 is 8824843621843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-3 number, since 3×3481263484288³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481263484289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13598685358 + ... + 13598685613.

Almost surely, 2^{3481263484288} is an apocalyptic number.

It is an amenable number.

3481263484288 is a deficient number, since it is larger than the sum of its proper divisors (3454066113572).

3481263484288 is an equidigital number, since it uses as much as digits as its factorization.

3481263484288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27197370985 (or 27197370973 counting only the distinct ones).

The product of its digits is 56623104, while the sum is 61.

The spelling of 3481263484288 in words is "three trillion, four hundred eighty-one billion, two hundred sixty-three million, four hundred eighty-four thousand, two hundred eighty-eight".