33434021300 has 72 divisors (see below), whose sum is σ = 75857644800. Its totient is φ = 12766568320.

The previous prime is 33434021263. The next prime is 33434021317. The reversal of 33434021300 is 312043433.

It is a super-2 number, since 2×33434021300² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 23 ways as a sum of consecutive naturals, for example, 1156421 + ... + 1184979.

It is an arithmetic number, because the mean of its divisors is an integer number (1053578400).

Almost surely, 2^33434021300 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 33434021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37928822400).

33434021300 is an abundant number, since it is smaller than the sum of its proper divisors (42423623500).

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

33434021300 is a wasteful number, since it uses less digits than its factorization.

33434021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29105 (or 29098 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 33434021300 its reverse (312043433), we get a palindrome (33746064733).

The spelling of 33434021300 in words is "thirty-three billion, four hundred thirty-four million, twenty-one thousand, three hundred".