39204144 has 240 divisors, whose sum is σ = 139276800. Its totient is φ = 10036224.

The previous prime is 39204133. The next prime is 39204149. The reversal of 39204144 is 44140293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39204149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440452 + ... + 440540.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 2^39204144 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 39204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69638400).

39204144 is an abundant number, since it is smaller than the sum of its proper divisors (100072656).

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

39204144 is a wasteful number, since it uses less digits than its factorization.

39204144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 39204144 is about 6261.3212663143. The cubic root of 39204144 is about 339.7118204023.

It can be divided in two parts, 39204 and 144, that multiplied together give a square (5645376 = 2376²).

The spelling of 39204144 in words is "thirty-nine million, two hundred four thousand, one hundred forty-four".