3485710584 has 128 divisors (see below), whose sum is σ = 9850824000. Its totient is φ = 1156135680.

The previous prime is 3485710567. The next prime is 3485710589. The reversal of 3485710584 is 4850175843.

3485710584 is a `hidden beast` number, since 3 + 4 + 8 + 57 + 10 + 584 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3485710589) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4916022 + ... + 4916730.

Almost surely, 2^3485710584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3485710584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925412000).

3485710584 is an abundant number, since it is smaller than the sum of its proper divisors (6365113416).

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

3485710584 is an equidigital number, since it uses as much as digits as its factorization.

3485710584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 3485710584 is about 59039.9067072434. The cubic root of 3485710584 is about 1516.2254255508.

The spelling of 3485710584 in words is "three billion, four hundred eighty-five million, seven hundred ten thousand, five hundred eighty-four".