3504060272160 has 1344 divisors, whose sum is σ = 15427553766912. Its totient is φ = 733333782528.

The previous prime is 3504060272117. The next prime is 3504060272171. The reversal of 3504060272160 is 612720604053.

3504060272160 is a `hidden beast` number, since 3 + 5 + 0 + 40 + 602 + 7 + 2 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 513562509 + ... + 513569331.

It is an arithmetic number, because the mean of its divisors is an integer number (11478834648).

Almost surely, 2^{3504060272160} is an apocalyptic number.

3504060272160 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 3504060272160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713776883456).

3504060272160 is an abundant number, since it is smaller than the sum of its proper divisors (11923493494752).

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

3504060272160 is a wasteful number, since it uses less digits than its factorization.

3504060272160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6917 (or 6894 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 3504060272160 in words is "three trillion, five hundred four billion, sixty million, two hundred seventy-two thousand, one hundred sixty".