3506800248 has 216 divisors, whose sum is σ = 11555598600. Its totient is φ = 957870144.

The previous prime is 3506800243. The next prime is 3506800267. The reversal of 3506800248 is 8420086053.

3506800248 is a `hidden beast` number, since 350 + 68 + 0 + 0 + 248 = 666.

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 (3506800243) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 1865373 + ... + 1867251.

Almost surely, 2^3506800248 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 3506800248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5777799300).

3506800248 is an abundant number, since it is smaller than the sum of its proper divisors (8048798352).

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

3506800248 is a wasteful number, since it uses less digits than its factorization.

3506800248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3506800248 is about 59218.2425271132. The cubic root of 3506800248 is about 1519.2771620790.

The spelling of 3506800248 in words is "three billion, five hundred six million, eight hundred thousand, two hundred forty-eight".