3985576528960 has 56 divisors (see below), whose sum is σ = 10220704436376. Its totient is φ = 1471597486080.

The previous prime is 3985576528957. The next prime is 3985576528963. The reversal of 3985576528960 is 698256755893.

It is an interprime number because it is at equal distance from previous prime (3985576528957) and next prime (3985576528963).

It can be written as a sum of positive squares in 4 ways, for example, as 653432955904 + 3332143573056 = 808352^2 + 1825416^2 .

It is not an unprimeable number, because it can be changed into a prime (3985576528963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479031481 + ... + 479039800.

It is an arithmetic number, because the mean of its divisors is an integer number (182512579221).

Almost surely, 2^{3985576528960} is an apocalyptic number.

It is an amenable number.

3985576528960 is an abundant number, since it is smaller than the sum of its proper divisors (6235127907416).

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

3985576528960 is a wasteful number, since it uses less digits than its factorization.

3985576528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958071311 (or 958071301 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 73.

The spelling of 3985576528960 in words is "three trillion, nine hundred eighty-five billion, five hundred seventy-six million, five hundred twenty-eight thousand, nine hundred sixty".