34884 has 48 divisors (see below), whose sum is σ = 100800. Its totient is φ = 10368.

The previous prime is 34883. The next prime is 34897. The reversal of 34884 is 48843.

It is a super-3 number, since 3×34884³ = 127350333957312, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34884.

It is not an unprimeable number, because it can be changed into a prime (34883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1827 + ... + 1845.

It is an arithmetic number, because the mean of its divisors is an integer number (2100).

2³⁴⁸⁸⁴ is an apocalyptic number.

34884 is a gapful number since it is divisible by the number (34) 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 34884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50400).

34884 is an abundant number, since it is smaller than the sum of its proper divisors (65916).

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

34884 is a wasteful number, since it uses less digits than its factorization.

34884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 41 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 34884 is about 186.7725889953. The cubic root of 34884 is about 32.6744856104.

The spelling of 34884 in words is "thirty-four thousand, eight hundred eighty-four".