3482775120 has 160 divisors (see below), whose sum is σ = 11802101760. Its totient is φ = 842590720.

The previous prime is 3482775113. The next prime is 3482775169. The reversal of 3482775120 is 215772843.

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, 1707061 + ... + 1709099.

It is an arithmetic number, because the mean of its divisors is an integer number (73763136).

Almost surely, 2^3482775120 is an apocalyptic number.

3482775120 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 3482775120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901050880).

3482775120 is an abundant number, since it is smaller than the sum of its proper divisors (8319326640).

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

3482775120 is a wasteful number, since it uses less digits than its factorization.

3482775120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 3482775120 is about 59015.0414724924. The cubic root of 3482775120 is about 1515.7996802076.

The spelling of 3482775120 in words is "three billion, four hundred eighty-two million, seven hundred seventy-five thousand, one hundred twenty".