34609152 has 96 divisors (see below), whose sum is σ = 95135040. Its totient is φ = 11182080.

The previous prime is 34609103. The next prime is 34609153. The reversal of 34609152 is 25190643.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34609153) 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, 264127 + ... + 264257.

It is an arithmetic number, because the mean of its divisors is an integer number (990990).

Almost surely, 2^34609152 is an apocalyptic number.

34609152 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 34609152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47567520).

34609152 is an abundant number, since it is smaller than the sum of its proper divisors (60525888).

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

34609152 is a wasteful number, since it uses less digits than its factorization.

34609152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 34609152 is about 5882.9543598434. The cubic root of 34609152 is about 325.8844610448.

Adding to 34609152 its reverse (25190643), we get a palindrome (59799795).

The spelling of 34609152 in words is "thirty-four million, six hundred nine thousand, one hundred fifty-two".