34044012288 has 864 divisors, whose sum is σ = 123744741120. Its totient is φ = 9196830720.

The previous prime is 34044012259. The next prime is 34044012307. The reversal of 34044012288 is 88221044043.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 382516948 + ... + 382517036.

It is an arithmetic number, because the mean of its divisors is an integer number (143223080).

Almost surely, 2^34044012288 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 34044012288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61872370560).

34044012288 is an abundant number, since it is smaller than the sum of its proper divisors (89700728832).

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

34044012288 is a wasteful number, since it uses less digits than its factorization.

34044012288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 34044012288 in words is "thirty-four billion, forty-four million, twelve thousand, two hundred eighty-eight".