32638023040 has 256 divisors, whose sum is σ = 94120704000. Its totient is φ = 10580410368.

The previous prime is 32638023037. The next prime is 32638023079. The reversal of 32638023040 is 4032083623.

It is a junction number, because it is equal to n+sod(n) for n = 32638022993 and 32638023011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9168781 + ... + 9172339.

It is an arithmetic number, because the mean of its divisors is an integer number (367659000).

Almost surely, 2^32638023040 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 32638023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47060352000).

32638023040 is an abundant number, since it is smaller than the sum of its proper divisors (61482680960).

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

32638023040 is a wasteful number, since it uses less digits than its factorization.

32638023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The spelling of 32638023040 in words is "thirty-two billion, six hundred thirty-eight million, twenty-three thousand, forty".