3481364261328 has 80 divisors (see below), whose sum is σ = 9386706176640. Its totient is φ = 1109744829952.

The previous prime is 3481364261311. The next prime is 3481364261377. The reversal of 3481364261328 is 8231624631843.

3481364261328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4467238 + ... + 5188346.

It is an arithmetic number, because the mean of its divisors is an integer number (117333827208).

Almost surely, 2^{3481364261328} is an apocalyptic number.

It is an amenable number.

3481364261328 is an abundant number, since it is smaller than the sum of its proper divisors (5905341915312).

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

3481364261328 is a wasteful number, since it uses less digits than its factorization.

3481364261328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725516 (or 725510 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 51.

The spelling of 3481364261328 in words is "three trillion, four hundred eighty-one billion, three hundred sixty-four million, two hundred sixty-one thousand, three hundred twenty-eight".