32346049065600 has 768 divisors, whose sum is σ = 112800797429760. Its totient is φ = 8133931008000.

The previous prime is 32346049065559. The next prime is 32346049065601. The reversal of 32346049065600 is 656094064323.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 32346049065600.

It is not an unprimeable number, because it can be changed into a prime (32346049065601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5848134835 + ... + 5848140365.

It is an arithmetic number, because the mean of its divisors is an integer number (146876038320).

Almost surely, 2^{32346049065600} is an apocalyptic number.

32346049065600 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 32346049065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56400398714880).

32346049065600 is an abundant number, since it is smaller than the sum of its proper divisors (80454748364160).

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

32346049065600 is a wasteful number, since it uses less digits than its factorization.

32346049065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6089 (or 6072 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 48.

The spelling of 32346049065600 in words is "thirty-two trillion, three hundred forty-six billion, forty-nine million, sixty-five thousand, six hundred".