3903585572160 has 336 divisors, whose sum is σ = 13989665289600. Its totient is φ = 997827489792.

The previous prime is 3903585572143. The next prime is 3903585572171. The reversal of 3903585572160 is 612755853093.

3903585572160 is a `hidden beast` number, since 3 + 9 + 0 + 3 + 5 + 8 + 5 + 572 + 1 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3903585572097 and 3903585572106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11441157 + ... + 11777403.

It is an arithmetic number, because the mean of its divisors is an integer number (41635908600).

Almost surely, 2^{3903585572160} is an apocalyptic number.

3903585572160 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 3903585572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6994832644800).

3903585572160 is an abundant number, since it is smaller than the sum of its proper divisors (10086079717440).

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

3903585572160 is a wasteful number, since it uses less digits than its factorization.

3903585572160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336438 (or 336425 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 3903585572160 in words is "three trillion, nine hundred three billion, five hundred eighty-five million, five hundred seventy-two thousand, one hundred sixty".