3536572752 has 400 divisors, whose sum is σ = 11494264320. Its totient is φ = 1045094400.

The previous prime is 3536572729. The next prime is 3536572769. The reversal of 3536572752 is 2572756353.

3536572752 is a `hidden beast` number, since 3 + 5 + 3 + 6 + 572 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3536572698 and 3536572707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31297048 + ... + 31297160.

Almost surely, 2^3536572752 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 3536572752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5747132160).

3536572752 is an abundant number, since it is smaller than the sum of its proper divisors (7957691568).

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

3536572752 is a wasteful number, since it uses less digits than its factorization.

3536572752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its digits is 1323000, while the sum is 45.

The square root of 3536572752 is about 59469.0907278731. The cubic root of 3536572752 is about 1523.5645727338.

It can be divided in two parts, 353657 and 2752, that added together give a square (356409 = 597²).

The spelling of 3536572752 in words is "three billion, five hundred thirty-six million, five hundred seventy-two thousand, seven hundred fifty-two".