33952000000 has 168 divisors, whose sum is σ = 84938170590. Its totient is φ = 13568000000.

The previous prime is 33951999979. The next prime is 33952000021. The reversal of 33952000000 is 25933.

It is an interprime number because it is at equal distance from previous prime (33951999979) and next prime (33952000021).

It can be written as a sum of positive squares in 7 ways, for example, as 15360132096 + 18591867904 = 123936^2 + 136352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 31999470 + ... + 32000530.

Almost surely, 2^33952000000 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 33952000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42469085295).

33952000000 is an abundant number, since it is smaller than the sum of its proper divisors (50986170590).

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

33952000000 is an frugal number, since it uses more digits than its factorization.

33952000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 22.

Adding to 33952000000 its reverse (25933), we get a palindrome (33952025933).

The spelling of 33952000000 in words is "thirty-three billion, nine hundred fifty-two million", and thus it is an aban number.