3635256240 has 480 divisors, whose sum is σ = 15737326080. Its totient is φ = 754997760.

The previous prime is 3635256239. The next prime is 3635256241. The reversal of 3635256240 is 426525363.

3635256240 is a `hidden beast` number, since 3 + 6 + 3 + 5 + 25 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3635256239) and next prime (3635256241).

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

It is a junction number, because it is equal to n+sod(n) for n = 3635256195 and 3635256204.

It is not an unprimeable number, because it can be changed into a prime (3635256241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1828527 + ... + 1830513.

It is an arithmetic number, because the mean of its divisors is an integer number (32786096).

Almost surely, 2^3635256240 is an apocalyptic number.

3635256240 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 3635256240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7868663040).

3635256240 is an abundant number, since it is smaller than the sum of its proper divisors (12102069840).

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

3635256240 is a wasteful number, since it uses less digits than its factorization.

3635256240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3635256240 is about 60293.0861708040. The cubic root of 3635256240 is about 1537.6058035458.

The spelling of 3635256240 in words is "three billion, six hundred thirty-five million, two hundred fifty-six thousand, two hundred forty".