34409733120 has 704 divisors, whose sum is σ = 141803059200. Its totient is φ = 7847165952.

The previous prime is 34409733101. The next prime is 34409733157. The reversal of 34409733120 is 2133790443.

34409733120 is a `hidden beast` number, since 3 + 440 + 97 + 3 + 3 + 120 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78381861 + ... + 78382299.

It is an arithmetic number, because the mean of its divisors is an integer number (201424800).

Almost surely, 2^34409733120 is an apocalyptic number.

34409733120 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 34409733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70901529600).

34409733120 is an abundant number, since it is smaller than the sum of its proper divisors (107393326080).

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

34409733120 is an frugal number, since it uses more digits than its factorization.

34409733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 34409733120 in words is "thirty-four billion, four hundred nine million, seven hundred thirty-three thousand, one hundred twenty".