3481085920 has 144 divisors (see below), whose sum is σ = 9409938048. Its totient is φ = 1209507840.

The previous prime is 3481085917. The next prime is 3481085921. The reversal of 3481085920 is 295801843.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481085921) 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 in 23 ways as a sum of consecutive naturals, for example, 598225 + ... + 604015.

It is an arithmetic number, because the mean of its divisors is an integer number (65346792).

Almost surely, 2^3481085920 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 3481085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704969024).

3481085920 is an abundant number, since it is smaller than the sum of its proper divisors (5928852128).

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

3481085920 is a wasteful number, since it uses less digits than its factorization.

3481085920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5853 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 3481085920 is about 59000.7281311002. The cubic root of 3481085920 is about 1515.5545784519.

The spelling of 3481085920 in words is "three billion, four hundred eighty-one million, eighty-five thousand, nine hundred twenty".