34003872 has 144 divisors (see below), whose sum is σ = 112275072. Its totient is φ = 9561600.

The previous prime is 34003843. The next prime is 34003873. The reversal of 34003872 is 27830043.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34003873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203533 + ... + 203699.

It is an arithmetic number, because the mean of its divisors is an integer number (779688).

Almost surely, 2^34003872 is an apocalyptic number.

34003872 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 34003872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56137536).

34003872 is an abundant number, since it is smaller than the sum of its proper divisors (78271200).

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

34003872 is a wasteful number, since it uses less digits than its factorization.

34003872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 34003872 is about 5831.2839066538. The cubic root of 34003872 is about 323.9734774814.

The spelling of 34003872 in words is "thirty-four million, three thousand, eight hundred seventy-two".