34095221160 has 1536 divisors, whose sum is σ = 152897310720. Its totient is φ = 5960908800.

The previous prime is 34095221159. The next prime is 34095221231. The reversal of 34095221160 is 6112259043.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 383 ways as a sum of consecutive naturals, for example, 792912099 + ... + 792912141.

It is an arithmetic number, because the mean of its divisors is an integer number (99542520).

Almost surely, 2^34095221160 is an apocalyptic number.

34095221160 is a gapful number since it is divisible by the number (30) 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 34095221160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76448655360).

34095221160 is an abundant number, since it is smaller than the sum of its proper divisors (118802089560).

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

34095221160 is a wasteful number, since it uses less digits than its factorization.

34095221160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

It can be divided in two parts, 34095 and 221160, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 34095221160 in words is "thirty-four billion, ninety-five million, two hundred twenty-one thousand, one hundred sixty".