3509843181120 has 672 divisors, whose sum is σ = 13318323782400. Its totient is φ = 844434505728.

The previous prime is 3509843181049. The next prime is 3509843181133. The reversal of 3509843181120 is 211813489053.

3509843181120 is a `hidden beast` number, since 3 + 5 + 0 + 98 + 431 + 8 + 1 + 120 = 666.

It is a super-2 number, since 2×3509843181120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 293238496 + ... + 293250464.

It is an arithmetic number, because the mean of its divisors is an integer number (19818934200).

Almost surely, 2^{3509843181120} is an apocalyptic number.

3509843181120 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 3509843181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659161891200).

3509843181120 is an abundant number, since it is smaller than the sum of its proper divisors (9808480601280).

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

3509843181120 is a wasteful number, since it uses less digits than its factorization.

3509843181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12267 (or 12254 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

It can be divided in two parts, 3509843 and 181120, that added together give a palindrome (3690963).

The spelling of 3509843181120 in words is "three trillion, five hundred nine billion, eight hundred forty-three million, one hundred eighty-one thousand, one hundred twenty".