34609248 has 96 divisors (see below), whose sum is σ = 103511520. Its totient is φ = 11243520.

The previous prime is 34609243. The next prime is 34609261. The reversal of 34609248 is 84290643.

It is a happy number.

34609248 is a `hidden beast` number, since 3 + 4 + 609 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34609243) 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, 34936 + ... + 35912.

It is an arithmetic number, because the mean of its divisors is an integer number (1078245).

Almost surely, 2^34609248 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 34609248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51755760).

34609248 is an abundant number, since it is smaller than the sum of its proper divisors (68902272).

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

34609248 is a wasteful number, since it uses less digits than its factorization.

34609248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34609248 is about 5882.9625190035. The cubic root of 34609248 is about 325.8847623608.

The spelling of 34609248 in words is "thirty-four million, six hundred nine thousand, two hundred forty-eight".