33234211920 has 320 divisors, whose sum is σ = 127351848960. Its totient is φ = 6981617664.

The previous prime is 33234211909. The next prime is 33234211939. The reversal of 33234211920 is 2911243233.

It is a super-2 number, since 2×33234211920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5216577 + ... + 5222943.

It is an arithmetic number, because the mean of its divisors is an integer number (397974528).

Almost surely, 2^33234211920 is an apocalyptic number.

33234211920 is a gapful number since it is divisible by the number (30) 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 33234211920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63675924480).

33234211920 is an abundant number, since it is smaller than the sum of its proper divisors (94117637040).

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

33234211920 is a wasteful number, since it uses less digits than its factorization.

33234211920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642 (or 6636 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 33234211920 in words is "thirty-three billion, two hundred thirty-four million, two hundred eleven thousand, nine hundred twenty".