32838980 has 48 divisors (see below), whose sum is σ = 71500800. Its totient is φ = 12659328.

The previous prime is 32838979. The next prime is 32838983. The reversal of 32838980 is 8983823.

It is not an unprimeable number, because it can be changed into a prime (32838983) 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, 147149 + ... + 147371.

It is an arithmetic number, because the mean of its divisors is an integer number (1489600).

Almost surely, 2^32838980 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 32838980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35750400).

32838980 is an abundant number, since it is smaller than the sum of its proper divisors (38661820).

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

32838980 is a wasteful number, since it uses less digits than its factorization.

32838980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 32838980 is about 5730.5305164531. The cubic root of 32838980 is about 320.2308880559.

The spelling of 32838980 in words is "thirty-two million, eight hundred thirty-eight thousand, nine hundred eighty".