34185268320 has 192 divisors, whose sum is σ = 125929520640. Its totient is φ = 7632027648.

The previous prime is 34185268309. The next prime is 34185268343. The reversal of 34185268320 is 2386258143.

It is a super-2 number, since 2×34185268320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 26176 + ... + 262784.

It is an arithmetic number, because the mean of its divisors is an integer number (655882920).

Almost surely, 2^34185268320 is an apocalyptic number.

34185268320 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 34185268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62964760320).

34185268320 is an abundant number, since it is smaller than the sum of its proper divisors (91744252320).

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

34185268320 is a wasteful number, since it uses less digits than its factorization.

34185268320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236677 (or 236669 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 34185268320 in words is "thirty-four billion, one hundred eighty-five million, two hundred sixty-eight thousand, three hundred twenty".