39671904 has 48 divisors (see below), whose sum is σ = 105477120. Its totient is φ = 13054080.

The previous prime is 39671903. The next prime is 39671911. The reversal of 39671904 is 40917693.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39671903) 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 7 ways as a sum of consecutive naturals, for example, 4969 + ... + 10199.

It is an arithmetic number, because the mean of its divisors is an integer number (2197440).

Almost surely, 2^39671904 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 39671904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52738560).

39671904 is an abundant number, since it is smaller than the sum of its proper divisors (65805216).

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

39671904 is a wasteful number, since it uses less digits than its factorization.

39671904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323 (or 5315 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 39671904 is about 6298.5636457846. The cubic root of 39671904 is about 341.0575605943.

The spelling of 39671904 in words is "thirty-nine million, six hundred seventy-one thousand, nine hundred four".