34633032 has 64 divisors (see below), whose sum is σ = 103265280. Its totient is φ = 9463872.

The previous prime is 34633021. The next prime is 34633057. The reversal of 34633032 is 23033643.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 34632993 and 34633011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618 + ... + 8345.

It is an arithmetic number, because the mean of its divisors is an integer number (1613520).

Almost surely, 2^34633032 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 34633032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51632640).

34633032 is an abundant number, since it is smaller than the sum of its proper divisors (68632248).

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

34633032 is a wasteful number, since it uses less digits than its factorization.

34633032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9002 (or 8998 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 34633032 is about 5884.9836023561. The cubic root of 34633032 is about 325.9593962502.

Adding to 34633032 its reverse (23033643), we get a palindrome (57666675).

The spelling of 34633032 in words is "thirty-four million, six hundred thirty-three thousand, thirty-two".