3481820160 has 704 divisors, whose sum is σ = 14262054912. Its totient is φ = 705429504.

The previous prime is 3481820131. The next prime is 3481820171. The reversal of 3481820160 is 610281843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65694694 + ... + 65694746.

Almost surely, 2^3481820160 is an apocalyptic number.

3481820160 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 3481820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131027456).

3481820160 is an abundant number, since it is smaller than the sum of its proper divisors (10780234752).

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

3481820160 is a wasteful number, since it uses less digits than its factorization.

3481820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 3481820160 is about 59006.9500991197. The cubic root of 3481820160 is about 1515.6611259097.

The spelling of 3481820160 in words is "three billion, four hundred eighty-one million, eight hundred twenty thousand, one hundred sixty".