32838764 has 48 divisors (see below), whose sum is σ = 73221120. Its totient is φ = 12545280.

The previous prime is 32838761. The next prime is 32838797. The reversal of 32838764 is 46783823.

It is not an unprimeable number, because it can be changed into a prime (32838761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7229 + ... + 10859.

It is an arithmetic number, because the mean of its divisors is an integer number (1525440).

Almost surely, 2^32838764 is an apocalyptic number.

32838764 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 32838764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36610560).

32838764 is an abundant number, since it is smaller than the sum of its proper divisors (40382356).

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

32838764 is a wasteful number, since it uses less digits than its factorization.

32838764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678 (or 3676 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

The square root of 32838764 is about 5730.5116699995. The cubic root of 32838764 is about 320.2301859429.

The spelling of 32838764 in words is "thirty-two million, eight hundred thirty-eight thousand, seven hundred sixty-four".