34153339392 has 160 divisors (see below), whose sum is σ = 101274053760. Its totient is φ = 11364433920.

The previous prime is 34153339369. The next prime is 34153339393. The reversal of 34153339392 is 29393335143.

It is not an unprimeable number, because it can be changed into a prime (34153339393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9301717 + ... + 9305387.

It is an arithmetic number, because the mean of its divisors is an integer number (632962836).

Almost surely, 2^34153339392 is an apocalyptic number.

34153339392 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 34153339392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50637026880).

34153339392 is an abundant number, since it is smaller than the sum of its proper divisors (67120714368).

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

34153339392 is an equidigital number, since it uses as much as digits as its factorization.

34153339392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4371 (or 4349 counting only the distinct ones).

The product of its digits is 787320, while the sum is 45.

The spelling of 34153339392 in words is "thirty-four billion, one hundred fifty-three million, three hundred thirty-nine thousand, three hundred ninety-two".