32412742100 has 72 divisors (see below), whose sum is σ = 72129945888. Its totient is φ = 12635683200.

The previous prime is 32412742097. The next prime is 32412742207. The reversal of 32412742100 is 124721423.

It is a super-2 number, since 2×32412742100² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32412742100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2000030 + ... + 2016170.

It is an arithmetic number, because the mean of its divisors is an integer number (1001804804).

Almost surely, 2^32412742100 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 32412742100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36064972944).

32412742100 is an abundant number, since it is smaller than the sum of its proper divisors (39717203788).

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

32412742100 is a wasteful number, since it uses less digits than its factorization.

32412742100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16665 (or 16658 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The spelling of 32412742100 in words is "thirty-two billion, four hundred twelve million, seven hundred forty-two thousand, one hundred".