34867872 has 144 divisors (see below), whose sum is σ = 109156320. Its totient is φ = 10492416.

The previous prime is 34867853. The next prime is 34867891. The reversal of 34867872 is 27876843.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34867853) and next prime (34867891).

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

Its product of digits (451584) is a multiple of the sum of its prime divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250779 + ... + 250917.

It is an arithmetic number, because the mean of its divisors is an integer number (758030).

Almost surely, 2^34867872 is an apocalyptic number.

34867872 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 34867872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54578160).

34867872 is an abundant number, since it is smaller than the sum of its proper divisors (74288448).

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

34867872 is a wasteful number, since it uses less digits than its factorization.

34867872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 224 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 34867872 is about 5904.9023700651. The cubic root of 34867872 is about 326.6944934415.

The spelling of 34867872 in words is "thirty-four million, eight hundred sixty-seven thousand, eight hundred seventy-two".