34115072 has 40 divisors (see below), whose sum is σ = 71151696. Its totient is φ = 16310272.

The previous prime is 34115071. The next prime is 34115111. The reversal of 34115072 is 27051143.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34115071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10328 + ... + 13224.

Almost surely, 2^34115072 is an apocalyptic number.

34115072 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 34115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35575848).

34115072 is an abundant number, since it is smaller than the sum of its proper divisors (37036624).

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

34115072 is an equidigital number, since it uses as much as digits as its factorization.

34115072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 34115072 is about 5840.8109026059. The cubic root of 34115072 is about 324.3262476122.

The spelling of 34115072 in words is "thirty-four million, one hundred fifteen thousand, seventy-two".