3581061120 has 864 divisors, whose sum is σ = 15803129160. Its totient is φ = 743178240.

The previous prime is 3581061089. The next prime is 3581061149. The reversal of 3581061120 is 211601853.

3581061120 is a `hidden beast` number, since 3 + 581 + 0 + 61 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1174569984 + 2406491136 = 34272^2 + 49056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58705890 + ... + 58705950.

Almost surely, 2^3581061120 is an apocalyptic number.

3581061120 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 3581061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7901564580).

3581061120 is an abundant number, since it is smaller than the sum of its proper divisors (12222068040).

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

3581061120 is a wasteful number, since it uses less digits than its factorization.

3581061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 3581061120 is about 59841.9678820809. The cubic root of 3581061120 is about 1529.9265375467.

Adding to 3581061120 its reverse (211601853), we get a palindrome (3792662973).

The spelling of 3581061120 in words is "three billion, five hundred eighty-one million, sixty-one thousand, one hundred twenty".