33304707072 has 768 divisors, whose sum is σ = 127098054720. Its totient is φ = 8153726976.

The previous prime is 33304707071. The next prime is 33304707097. The reversal of 33304707072 is 27070740333.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×33304707072² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33304707071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456228828 + ... + 456228900.

Almost surely, 2^33304707072 is an apocalyptic number.

33304707072 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 33304707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63549027360).

33304707072 is an abundant number, since it is smaller than the sum of its proper divisors (93793347648).

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

33304707072 is a wasteful number, since it uses less digits than its factorization.

33304707072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 36.

The spelling of 33304707072 in words is "thirty-three billion, three hundred four million, seven hundred seven thousand, seventy-two".