3500587008 has 144 divisors (see below), whose sum is σ = 10176402600. Its totient is φ = 1159249920.

The previous prime is 3500587007. The next prime is 3500587019. The reversal of 3500587008 is 8007850053.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3500587003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3298798 + ... + 3299858.

Almost surely, 2^3500587008 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 3500587008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088201300).

3500587008 is an abundant number, since it is smaller than the sum of its proper divisors (6675815592).

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

3500587008 is a wasteful number, since it uses less digits than its factorization.

3500587008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 3500587008 is about 59165.7587460856. The cubic root of 3500587008 is about 1518.3793622415.

The spelling of 3500587008 in words is "three billion, five hundred million, five hundred eighty-seven thousand, eight".