34825313792 has 40 divisors (see below), whose sum is σ = 69722565000. Its totient is φ = 17377634304.

The previous prime is 34825313749. The next prime is 34825313797. The reversal of 34825313792 is 29731352843.

It is a super-2 number, since 2×34825313792² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34825313797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 187334 + ... + 323642.

It is an arithmetic number, because the mean of its divisors is an integer number (1743064125).

Almost surely, 2^34825313792 is an apocalyptic number.

34825313792 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 34825313792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34861282500).

34825313792 is an abundant number, since it is smaller than the sum of its proper divisors (34897251208).

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

34825313792 is an equidigital number, since it uses as much as digits as its factorization.

34825313792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136826 (or 136810 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 47.

The spelling of 34825313792 in words is "thirty-four billion, eight hundred twenty-five million, three hundred thirteen thousand, seven hundred ninety-two".