32938987648 has 64 divisors (see below), whose sum is σ = 75309292800. Its totient is φ = 14057551872.

The previous prime is 32938987591. The next prime is 32938987681. The reversal of 32938987648 is 84678983923.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 137236 + ... + 291052.

It is an arithmetic number, because the mean of its divisors is an integer number (1176707700).

Almost surely, 2^32938987648 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 32938987648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37654646400).

32938987648 is an abundant number, since it is smaller than the sum of its proper divisors (42370305152).

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

32938987648 is a wasteful number, since it uses less digits than its factorization.

32938987648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154077 (or 154065 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 67.

The spelling of 32938987648 in words is "thirty-two billion, nine hundred thirty-eight million, nine hundred eighty-seven thousand, six hundred forty-eight".