32834813800 has 192 divisors, whose sum is σ = 82651495680. Its totient is φ = 12098211840.

The previous prime is 32834813783. The next prime is 32834813801. The reversal of 32834813800 is 831843823.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (32834813801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17529664 + ... + 17531536.

It is an arithmetic number, because the mean of its divisors is an integer number (430476540).

Almost surely, 2^32834813800 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 32834813800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41325747840).

32834813800 is an abundant number, since it is smaller than the sum of its proper divisors (49816681880).

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

32834813800 is a wasteful number, since it uses less digits than its factorization.

32834813800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 32834813800 in words is "thirty-two billion, eight hundred thirty-four million, eight hundred thirteen thousand, eight hundred".