34162154272 has 48 divisors (see below), whose sum is σ = 68998849920. Its totient is φ = 16640692992.

The previous prime is 34162154267. The next prime is 34162154293. The reversal of 34162154272 is 27245126143.

It is a super-3 number, since 3×34162154272³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 503353 + ... + 567175.

It is an arithmetic number, because the mean of its divisors is an integer number (1437476040).

Almost surely, 2^34162154272 is an apocalyptic number.

34162154272 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 34162154272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34499424960).

34162154272 is an abundant number, since it is smaller than the sum of its proper divisors (34836695648).

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

34162154272 is a wasteful number, since it uses less digits than its factorization.

34162154272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64265 (or 64257 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The spelling of 34162154272 in words is "thirty-four billion, one hundred sixty-two million, one hundred fifty-four thousand, two hundred seventy-two".