34219872 has 36 divisors (see below), whose sum is σ = 97313580. Its totient is φ = 11406528.

The previous prime is 34219859. The next prime is 34219879. The reversal of 34219872 is 27891243.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34219879) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59122 + ... + 59697.

It is an arithmetic number, because the mean of its divisors is an integer number (2703155).

Almost surely, 2^34219872 is an apocalyptic number.

34219872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34219872 is an abundant number, since it is smaller than the sum of its proper divisors (63093708).

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

34219872 is a wasteful number, since it uses less digits than its factorization.

34219872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118835 (or 118824 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 34219872 is about 5849.7753803031. The cubic root of 34219872 is about 324.6580134408.

The spelling of 34219872 in words is "thirty-four million, two hundred nineteen thousand, eight hundred seventy-two".