39290208 has 48 divisors (see below), whose sum is σ = 104400576. Its totient is φ = 12936320.

The previous prime is 39290201. The next prime is 39290221. The reversal of 39290208 is 80209293.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39290201) 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, 5503 + ... + 10433.

It is an arithmetic number, because the mean of its divisors is an integer number (2175012).

Almost surely, 2^39290208 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 39290208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52200288).

39290208 is an abundant number, since it is smaller than the sum of its proper divisors (65110368).

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

39290208 is a wasteful number, since it uses less digits than its factorization.

39290208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 39290208 is about 6268.1901694189. The cubic root of 39290208 is about 339.9602260278.

The spelling of 39290208 in words is "thirty-nine million, two hundred ninety thousand, two hundred eight".