33204001320 has 144 divisors (see below), whose sum is σ = 125531520660. Its totient is φ = 7589481984.

The previous prime is 33204001307. The next prime is 33204001339. The reversal of 33204001320 is 2310040233.

It can be written as a sum of positive squares in 2 ways, for example, as 31847257764 + 1356743556 = 178458^2 + 36834^2 .

It is a super-2 number, since 2×33204001320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33204001293 and 33204001302.

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 35 ways as a sum of consecutive naturals, for example, 923517 + ... + 958796.

Almost surely, 2^33204001320 is an apocalyptic number.

33204001320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33204001320 is an abundant number, since it is smaller than the sum of its proper divisors (92327519340).

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

33204001320 is a wasteful number, since it uses less digits than its factorization.

33204001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882344 (or 1882330 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33204001320 its reverse (2310040233), we get a palindrome (35514041553).

The spelling of 33204001320 in words is "thirty-three billion, two hundred four million, one thousand, three hundred twenty".