34075839798 has 288 divisors, whose sum is σ = 102309715872. Its totient is φ = 8055936000.

The previous prime is 34075839767. The next prime is 34075839827. The reversal of 34075839798 is 89793857043.

34075839798 is a `hidden beast` number, since 3 + 40 + 7 + 583 + 9 + 7 + 9 + 8 = 666.

It is a super-2 number, since 2×34075839798² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9205348 + ... + 9209048.

It is an arithmetic number, because the mean of its divisors is an integer number (355242069).

Almost surely, 2^34075839798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34075839798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51154857936).

34075839798 is an abundant number, since it is smaller than the sum of its proper divisors (68233876074).

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

34075839798 is a wasteful number, since it uses less digits than its factorization.

34075839798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 34075839798 in words is "thirty-four billion, seventy-five million, eight hundred thirty-nine thousand, seven hundred ninety-eight".