3481011236100 has 144 divisors (see below), whose sum is σ = 10174623782400. Its totient is φ = 918803589120.

The previous prime is 3481011236081. The next prime is 3481011236123. The reversal of 3481011236100 is 16321101843.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31893421 + ... + 32002379.

It is an arithmetic number, because the mean of its divisors is an integer number (70657109600).

Almost surely, 2^{3481011236100} is an apocalyptic number.

3481011236100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481011236100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087311891200).

3481011236100 is an abundant number, since it is smaller than the sum of its proper divisors (6693612546300).

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

3481011236100 is a wasteful number, since it uses less digits than its factorization.

3481011236100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110062 (or 110055 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 3481011236100 its reverse (16321101843), we get a palindrome (3497332337943).

The spelling of 3481011236100 in words is "three trillion, four hundred eighty-one billion, eleven million, two hundred thirty-six thousand, one hundred".