34632 has 48 divisors (see below), whose sum is σ = 103740. Its totient is φ = 10368.

The previous prime is 34631. The next prime is 34649. The reversal of 34632 is 23643.

34632 is a `hidden beast` number, since 34 + 632 = 666.

34632 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 2 ways, for example, as 34596 + 36 = 186^2 + 6^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 918 + ... + 954.

2³⁴⁶³² 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 34632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51870).

34632 is an abundant number, since it is smaller than the sum of its proper divisors (69108).

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

34632 is a wasteful number, since it uses less digits than its factorization.

34632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 55 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 34632 is about 186.0967490312. The cubic root of 34632 is about 32.5956158557.

It can be divided in two parts, 346 and 32, that added together give a triangular number (378 = T₂₇).

The spelling of 34632 in words is "thirty-four thousand, six hundred thirty-two".