34579072 has 64 divisors (see below), whose sum is σ = 77112000. Its totient is φ = 15308800.

The previous prime is 34579063. The next prime is 34579073. The reversal of 34579072 is 27097543.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (34579073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57429 + ... + 58027.

It is an arithmetic number, because the mean of its divisors is an integer number (1204875).

Almost surely, 2^34579072 is an apocalyptic number.

34579072 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 34579072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38556000).

34579072 is an abundant number, since it is smaller than the sum of its proper divisors (42532928).

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

34579072 is a wasteful number, since it uses less digits than its factorization.

34579072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 34579072 is about 5880.3972654915. The cubic root of 34579072 is about 325.7900212283.

The spelling of 34579072 in words is "thirty-four million, five hundred seventy-nine thousand, seventy-two".