34214319360 has 216 divisors, whose sum is σ = 127484537544. Its totient is φ = 8421949440.

The previous prime is 34214319317. The next prime is 34214319383. The reversal of 34214319360 is 6391341243.

34214319360 is a `hidden beast` number, since 3 + 421 + 43 + 193 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10036224 + 34204283136 = 3168^2 + 184944^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 35530 + ... + 263990.

Almost surely, 2^34214319360 is an apocalyptic number.

34214319360 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 34214319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63742268772).

34214319360 is an abundant number, since it is smaller than the sum of its proper divisors (93270218184).

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

34214319360 is a wasteful number, since it uses less digits than its factorization.

34214319360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228501 (or 228484 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 34214319360 in words is "thirty-four billion, two hundred fourteen million, three hundred nineteen thousand, three hundred sixty".