34059007752 has 256 divisors, whose sum is σ = 111601152000. Its totient is φ = 8398663680.

The previous prime is 34059007691. The next prime is 34059007831. The reversal of 34059007752 is 25770095043.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5820124 + ... + 5825972.

It is an arithmetic number, because the mean of its divisors is an integer number (435942000).

Almost surely, 2^34059007752 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 34059007752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55800576000).

34059007752 is an abundant number, since it is smaller than the sum of its proper divisors (77542144248).

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

34059007752 is a wasteful number, since it uses less digits than its factorization.

34059007752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6036 (or 6032 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The spelling of 34059007752 in words is "thirty-four billion, fifty-nine million, seven thousand, seven hundred fifty-two".