32938752000 has 768 divisors, whose sum is σ = 136881239040. Its totient is φ = 6832128000.

The previous prime is 32938751987. The next prime is 32938752071. The reversal of 32938752000 is 25783923.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×32938752000² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32938752000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59135722 + ... + 59136278.

It is an arithmetic number, because the mean of its divisors is an integer number (178230780).

Almost surely, 2^32938752000 is an apocalyptic number.

32938752000 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 32938752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68440619520).

32938752000 is an abundant number, since it is smaller than the sum of its proper divisors (103942487040).

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

32938752000 is a wasteful number, since it uses less digits than its factorization.

32938752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 32938752000 in words is "thirty-two billion, nine hundred thirty-eight million, seven hundred fifty-two thousand".