34405072 has 40 divisors (see below), whose sum is σ = 72182880. Its totient is φ = 15792000.

The previous prime is 34405069. The next prime is 34405073. The reversal of 34405072 is 27050443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34405073) 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, 51879 + ... + 52537.

It is an arithmetic number, because the mean of its divisors is an integer number (1804572).

Almost surely, 2^34405072 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 34405072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36091440).

34405072 is an abundant number, since it is smaller than the sum of its proper divisors (37777808).

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

34405072 is a wasteful number, since it uses less digits than its factorization.

34405072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 34405072 is about 5865.5836879206. The cubic root of 34405072 is about 325.2426495586.

The spelling of 34405072 in words is "thirty-four million, four hundred five thousand, seventy-two".