3481745880 has 128 divisors (see below), whose sum is σ = 10755763200. Its totient is φ = 900997632.

The previous prime is 3481745879. The next prime is 3481745893. The reversal of 3481745880 is 885471843.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2232541 + ... + 2234099.

It is an arithmetic number, because the mean of its divisors is an integer number (84029400).

Almost surely, 2^3481745880 is an apocalyptic number.

3481745880 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 3481745880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377881600).

3481745880 is an abundant number, since it is smaller than the sum of its proper divisors (7274017320).

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

3481745880 is a wasteful number, since it uses less digits than its factorization.

3481745880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 3481745880 is about 59006.3206783816. The cubic root of 3481745880 is about 1515.6503476287.

The spelling of 3481745880 in words is "three billion, four hundred eighty-one million, seven hundred forty-five thousand, eight hundred eighty".