34355152 has 40 divisors (see below), whose sum is σ = 72044000. Its totient is φ = 15776640.

The previous prime is 34355149. The next prime is 34355197. The reversal of 34355152 is 25155343.

It is a self number, because there is not a number n which added to its sum of digits gives 34355152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68599 + ... + 69097.

It is an arithmetic number, because the mean of its divisors is an integer number (1801100).

Almost surely, 2^34355152 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 34355152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36022000).

34355152 is an abundant number, since it is smaller than the sum of its proper divisors (37688848).

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

34355152 is a wasteful number, since it uses less digits than its factorization.

34355152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 845 counting only the distinct ones).

The product of its digits is 9000, while the sum is 28.

The square root of 34355152 is about 5861.3268122499. The cubic root of 34355152 is about 325.0852699335.

The spelling of 34355152 in words is "thirty-four million, three hundred fifty-five thousand, one hundred fifty-two".