34105632 has 48 divisors (see below), whose sum is σ = 97669152. Its totient is φ = 10334720.

The previous prime is 34105607. The next prime is 34105633. The reversal of 34105632 is 23650143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (34105633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15093 + ... + 17204.

It is an arithmetic number, because the mean of its divisors is an integer number (2034774).

Almost surely, 2^34105632 is an apocalyptic number.

34105632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34105632 is an abundant number, since it is smaller than the sum of its proper divisors (63563520).

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

34105632 is a wasteful number, since it uses less digits than its factorization.

34105632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32321 (or 32313 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 34105632 is about 5840.0027397254. The cubic root of 34105632 is about 324.2963300222.

Adding to 34105632 its reverse (23650143), we get a palindrome (57755775).

The spelling of 34105632 in words is "thirty-four million, one hundred five thousand, six hundred thirty-two".