32004314100 has 432 divisors, whose sum is σ = 111966167040. Its totient is φ = 7581600000.

The previous prime is 32004314051. The next prime is 32004314117. The reversal of 32004314100 is 141340023.

It is a super-2 number, since 2×32004314100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 118096965 + ... + 118097235.

Almost surely, 2^32004314100 is an apocalyptic number.

32004314100 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 32004314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55983083520).

32004314100 is an abundant number, since it is smaller than the sum of its proper divisors (79961852940).

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

32004314100 is a wasteful number, since it uses less digits than its factorization.

32004314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 32004314100 its reverse (141340023), we get a palindrome (32145654123).

The spelling of 32004314100 in words is "thirty-two billion, four million, three hundred fourteen thousand, one hundred".