32997034752 has 288 divisors, whose sum is σ = 98399664384. Its totient is φ = 9732096000.

The previous prime is 32997034747. The next prime is 32997034753. The reversal of 32997034752 is 25743079923.

It is a junction number, because it is equal to n+sod(n) for n = 32997034695 and 32997034704.

It is not an unprimeable number, because it can be changed into a prime (32997034753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54903252 + ... + 54903852.

Almost surely, 2^32997034752 is an apocalyptic number.

32997034752 is a gapful number since it is divisible by the number (32) 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 32997034752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49199832192).

32997034752 is an abundant number, since it is smaller than the sum of its proper divisors (65402629632).

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

32997034752 is a wasteful number, since it uses less digits than its factorization.

32997034752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 51.

The spelling of 32997034752 in words is "thirty-two billion, nine hundred ninety-seven million, thirty-four thousand, seven hundred fifty-two".