34185823872 has 384 divisors, whose sum is σ = 105014630400. Its totient is φ = 9813934080.

The previous prime is 34185823811. The next prime is 34185823937. The reversal of 34185823872 is 27832858143.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65364603 + ... + 65365125.

It is an arithmetic number, because the mean of its divisors is an integer number (273475600).

Almost surely, 2^34185823872 is an apocalyptic number.

34185823872 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 34185823872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52507315200).

34185823872 is an abundant number, since it is smaller than the sum of its proper divisors (70828806528).

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

34185823872 is a wasteful number, since it uses less digits than its factorization.

34185823872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 595 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The spelling of 34185823872 in words is "thirty-four billion, one hundred eighty-five million, eight hundred twenty-three thousand, eight hundred seventy-two".