3506249988 has 72 divisors (see below), whose sum is σ = 9319117080. Its totient is φ = 1109928960.

The previous prime is 3506249953. The next prime is 3506250001. The reversal of 3506249988 is 8899426053.

3506249988 is a `hidden beast` number, since 3 + 5 + 0 + 624 + 9 + 9 + 8 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26193924 + 3480056064 = 5118^2 + 58992^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36156 + ... + 91212.

Almost surely, 2^3506249988 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 3506249988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4659558540).

3506249988 is an abundant number, since it is smaller than the sum of its proper divisors (5812867092).

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

3506249988 is a wasteful number, since it uses less digits than its factorization.

3506249988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55157 (or 55152 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 3506249988 is about 59213.5963103070. The cubic root of 3506249988 is about 1519.1976935111.

The spelling of 3506249988 in words is "three billion, five hundred six million, two hundred forty-nine thousand, nine hundred eighty-eight".