3500432640 has 216 divisors, whose sum is σ = 12222854280. Its totient is φ = 924844032.

The previous prime is 3500432633. The next prime is 3500432659. The reversal of 3500432640 is 462340053.

It can be written as a sum of positive squares in 4 ways, for example, as 308634624 + 3191798016 = 17568^2 + 56496^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1300416 + ... + 1303104.

Almost surely, 2^3500432640 is an apocalyptic number.

3500432640 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 3500432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6111427140).

3500432640 is an abundant number, since it is smaller than the sum of its proper divisors (8722421640).

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

3500432640 is a wasteful number, since it uses less digits than its factorization.

3500432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3500432640 is about 59164.4541933753. The cubic root of 3500432640 is about 1518.3570428771.

Adding to 3500432640 its reverse (462340053), we get a palindrome (3962772693).

The spelling of 3500432640 in words is "three billion, five hundred million, four hundred thirty-two thousand, six hundred forty".