32638368 has 96 divisors (see below), whose sum is σ = 103711104. Its totient is φ = 8773632.

The previous prime is 32638363. The next prime is 32638391. The reversal of 32638368 is 86383623.

It is a Cunningham number, because it is equal to 5713²-1.

It is a tau number, because it is divible by the number of its divisors (96).

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 (32638363) 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, 9996 + ... + 12852.

It is an arithmetic number, because the mean of its divisors is an integer number (1080324).

Almost surely, 2^32638368 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 32638368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51855552).

32638368 is an abundant number, since it is smaller than the sum of its proper divisors (71072736).

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

32638368 is a wasteful number, since it uses less digits than its factorization.

32638368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2886 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 32638368 is about 5712.9999124803. Note that the first 4 decimals coincide. The cubic root of 32638368 is about 319.5774631496.

The spelling of 32638368 in words is "thirty-two million, six hundred thirty-eight thousand, three hundred sixty-eight".