32338020 has 96 divisors (see below), whose sum is σ = 106404480. Its totient is φ = 7234560.

The previous prime is 32338013. The next prime is 32338027. The reversal of 32338020 is 2083323.

It is an interprime number because it is at equal distance from previous prime (32338013) and next prime (32338027).

It is not an unprimeable number, because it can be changed into a prime (32338027) 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 31 ways as a sum of consecutive naturals, for example, 6696 + ... + 10464.

It is an arithmetic number, because the mean of its divisors is an integer number (1108380).

Almost surely, 2^32338020 is an apocalyptic number.

32338020 is a gapful number since it is divisible by the number (30) 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 32338020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53202240).

32338020 is an abundant number, since it is smaller than the sum of its proper divisors (74066460).

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

32338020 is a wasteful number, since it uses less digits than its factorization.

32338020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 32338020 is about 5686.6527940433. The cubic root of 32338020 is about 318.5941583443.

The spelling of 32338020 in words is "thirty-two million, three hundred thirty-eight thousand, twenty".