32997888000 has 1664 divisors, whose sum is σ = 157015572480. Its totient is φ = 6635520000.

The previous prime is 32997887947. The next prime is 32997888019. The reversal of 32997888000 is 88879923.

It is a super-2 number, since 2×32997888000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1064447985 + ... + 1064448015.

It is an arithmetic number, because the mean of its divisors is an integer number (94360320).

Almost surely, 2^32997888000 is an apocalyptic number.

32997888000 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 32997888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78507786240).

32997888000 is an abundant number, since it is smaller than the sum of its proper divisors (124017684480).

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

32997888000 is a wasteful number, since it uses less digits than its factorization.

32997888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 32997888000 in words is "thirty-two billion, nine hundred ninety-seven million, eight hundred eighty-eight thousand".