39472100 has 18 divisors (see below), whose sum is σ = 85654674. Its totient is φ = 15788800.

The previous prime is 39472087. The next prime is 39472109. The reversal of 39472100 is 127493.

39472100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10484644 + 28987456 = 3238^2 + 5384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 39472100.

It is not an unprimeable number, because it can be changed into a prime (39472109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 197261 + ... + 197460.

It is an arithmetic number, because the mean of its divisors is an integer number (4758593).

Almost surely, 2^39472100 is an apocalyptic number.

It is an amenable number.

39472100 is an abundant number, since it is smaller than the sum of its proper divisors (46182574).

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

39472100 is a wasteful number, since it uses less digits than its factorization.

39472100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394735 (or 394728 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 39472100 is about 6282.6825480841. The cubic root of 39472100 is about 340.4840280214.

Adding to 39472100 its reverse (127493), we get a palindrome (39599593).

The spelling of 39472100 in words is "thirty-nine million, four hundred seventy-two thousand, one hundred".