33530346252 has 168 divisors, whose sum is σ = 95256051744. Its totient is φ = 10261334016.

The previous prime is 33530346251. The next prime is 33530346259. The reversal of 33530346252 is 25264303533.

33530346252 is a `hidden beast` number, since 3 + 35 + 30 + 346 + 252 = 666.

It is a super-2 number, since 2×33530346252² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33530346251) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7313953 + ... + 7318535.

It is an arithmetic number, because the mean of its divisors is an integer number (567000308).

Almost surely, 2^33530346252 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 33530346252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47628025872).

33530346252 is an abundant number, since it is smaller than the sum of its proper divisors (61725705492).

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

33530346252 is a wasteful number, since it uses less digits than its factorization.

33530346252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4811 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 33530346252 its reverse (25264303533), we get a palindrome (58794649785).

The spelling of 33530346252 in words is "thirty-three billion, five hundred thirty million, three hundred forty-six thousand, two hundred fifty-two".