3481011235700 has 72 divisors (see below), whose sum is σ = 7622063719200. Its totient is φ = 1379856965760.

The previous prime is 3481011235699. The next prime is 3481011235721. The reversal of 3481011235700 is 75321101843.

3481011235700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7374386 + ... + 7832214.

It is an arithmetic number, because the mean of its divisors is an integer number (105861996100).

Almost surely, 2^{3481011235700} 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 3481011235700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811031859600).

3481011235700 is an abundant number, since it is smaller than the sum of its proper divisors (4141052483500).

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

3481011235700 is a wasteful number, since it uses less digits than its factorization.

3481011235700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458529 (or 458522 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 3481011235700 in words is "three trillion, four hundred eighty-one billion, eleven million, two hundred thirty-five thousand, seven hundred".