32444012100 has 144 divisors (see below), whose sum is σ = 99482257728. Its totient is φ = 8135516160.

The previous prime is 32444012059. The next prime is 32444012197. The reversal of 32444012100 is 121044423.

It is a super-2 number, since 2×32444012100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7765212 + ... + 7769388.

It is an arithmetic number, because the mean of its divisors is an integer number (690849012).

Almost surely, 2^32444012100 is an apocalyptic number.

32444012100 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 32444012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49741128864).

32444012100 is an abundant number, since it is smaller than the sum of its proper divisors (67038245628).

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

32444012100 is a wasteful number, since it uses less digits than its factorization.

32444012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5734 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 32444012100 its reverse (121044423), we get a palindrome (32565056523).

The spelling of 32444012100 in words is "thirty-two billion, four hundred forty-four million, twelve thousand, one hundred".