34160398272 has 1120 divisors, whose sum is σ = 141268216320. Its totient is φ = 7873044480.

The previous prime is 34160398249. The next prime is 34160398303. The reversal of 34160398272 is 27289306143.

34160398272 is a `hidden beast` number, since 34 + 1 + 603 + 9 + 8 + 2 + 7 + 2 = 666.

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 159 ways as a sum of consecutive naturals, for example, 150486223 + ... + 150486449.

It is an arithmetic number, because the mean of its divisors is an integer number (126132336).

Almost surely, 2^34160398272 is an apocalyptic number.

34160398272 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 34160398272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70634108160).

34160398272 is an abundant number, since it is smaller than the sum of its proper divisors (107107818048).

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

34160398272 is a wasteful number, since it uses less digits than its factorization.

34160398272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 34160398272 in words is "thirty-four billion, one hundred sixty million, three hundred ninety-eight thousand, two hundred seventy-two".