33948034752 has 84 divisors (see below), whose sum is σ = 93025357256. Its totient is φ = 10925752320.

The previous prime is 33948034733. The next prime is 33948034759. The reversal of 33948034752 is 25743084933.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (33948034759) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56352 + ... + 266592.

Almost surely, 2^33948034752 is an apocalyptic number.

33948034752 is a gapful number since it is divisible by the number (32) 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 33948034752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46512678628).

33948034752 is an abundant number, since it is smaller than the sum of its proper divisors (59077322504).

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

33948034752 is a wasteful number, since it uses less digits than its factorization.

33948034752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210314 (or 210275 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 33948034752 in words is "thirty-three billion, nine hundred forty-eight million, thirty-four thousand, seven hundred fifty-two".