33423028704 has 384 divisors, whose sum is σ = 112582431360. Its totient is φ = 9674588160.

The previous prime is 33423028697. The next prime is 33423028739. The reversal of 33423028704 is 40782032433.

33423028704 is a `hidden beast` number, since 3 + 342 + 30 + 287 + 0 + 4 = 666.

It is a super-2 number, since 2×33423028704² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15465384 + ... + 15467544.

It is an arithmetic number, because the mean of its divisors is an integer number (293183415).

Almost surely, 2^33423028704 is an apocalyptic number.

33423028704 is a gapful number since it is divisible by the number (34) 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 33423028704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56291215680).

33423028704 is an abundant number, since it is smaller than the sum of its proper divisors (79159402656).

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

33423028704 is a wasteful number, since it uses less digits than its factorization.

33423028704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 33423028704 in words is "thirty-three billion, four hundred twenty-three million, twenty-eight thousand, seven hundred four".