3248833536 has 440 divisors, whose sum is σ = 10985413824. Its totient is φ = 948879360.

The previous prime is 3248833487. The next prime is 3248833543. The reversal of 3248833536 is 6353388423.

3248833536 is a `hidden beast` number, since 3 + 2 + 4 + 88 + 33 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3248833491 and 3248833500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24800191 + ... + 24800321.

Almost surely, 2^3248833536 is an apocalyptic number.

3248833536 is a gapful number since it is divisible by the number (36) 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 3248833536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5492706912).

3248833536 is an abundant number, since it is smaller than the sum of its proper divisors (7736580288).

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

3248833536 is a wasteful number, since it uses less digits than its factorization.

3248833536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 172 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 3248833536 is about 56998.5397707696. The cubic root of 3248833536 is about 1481.0708004334.

The spelling of 3248833536 in words is "three billion, two hundred forty-eight million, eight hundred thirty-three thousand, five hundred thirty-six".