34284072 has 64 divisors (see below), whose sum is σ = 88704000. Its totient is φ = 11035584.

The previous prime is 34284071. The next prime is 34284073. The reversal of 34284072 is 27048243.

It is an interprime number because it is at equal distance from previous prime (34284071) and next prime (34284073).

It is not an unprimeable number, because it can be changed into a prime (34284071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143329 + ... + 143567.

It is an arithmetic number, because the mean of its divisors is an integer number (1386000).

Almost surely, 2^34284072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34284072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44352000).

34284072 is an abundant number, since it is smaller than the sum of its proper divisors (54419928).

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

34284072 is a wasteful number, since it uses less digits than its factorization.

34284072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 34284072 is about 5855.2601991713. The cubic root of 34284072 is about 324.8609172143.

The spelling of 34284072 in words is "thirty-four million, two hundred eighty-four thousand, seventy-two".