34259239872 has 448 divisors, whose sum is σ = 124568102400. Its totient is φ = 9077391360.

The previous prime is 34259239829. The next prime is 34259239873. The reversal of 34259239872 is 27893295243.

34259239872 is a `hidden beast` number, since 3 + 42 + 592 + 3 + 9 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34259239873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4691328 + ... + 4698624.

It is an arithmetic number, because the mean of its divisors is an integer number (278053800).

Almost surely, 2^34259239872 is an apocalyptic number.

34259239872 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 34259239872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62284051200).

34259239872 is an abundant number, since it is smaller than the sum of its proper divisors (90308862528).

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

34259239872 is a wasteful number, since it uses less digits than its factorization.

34259239872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7361 (or 7345 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 34259239872 in words is "thirty-four billion, two hundred fifty-nine million, two hundred thirty-nine thousand, eight hundred seventy-two".