34788 has 24 divisors (see below), whose sum is σ = 87808. Its totient is φ = 10656.

The previous prime is 34781. The next prime is 34807. The reversal of 34788 is 88743.

34788 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a plaindrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34788.

It is not an unprimeable number, because it can be changed into a prime (34781) by changing a digit.

34788 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45 + ... + 267.

2³⁴⁷⁸⁸ 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 34788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43904).

34788 is an abundant number, since it is smaller than the sum of its proper divisors (53020).

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

34788 is a wasteful number, since it uses less digits than its factorization.

34788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 241 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 34788 is about 186.5154149125. The cubic root of 34788 is about 32.6444849181.

It can be divided in two parts, 3478 and 8, that added together give a triangular number (3486 = T₈₃).

The spelling of 34788 in words is "thirty-four thousand, seven hundred eighty-eight".