39090240 has 252 divisors, whose sum is σ = 156970476. Its totient is φ = 8902656.

The previous prime is 39090223. The next prime is 39090253. The reversal of 39090240 is 4209093.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 28901376 = 3192^2 + 5376^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140982 + ... + 141258.

Almost surely, 2^39090240 is an apocalyptic number.

39090240 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 39090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78485238).

39090240 is an abundant number, since it is smaller than the sum of its proper divisors (117880236).

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

39090240 is a wasteful number, since it uses less digits than its factorization.

39090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 39090240 is about 6252.2188061519. The cubic root of 39090240 is about 339.3825008771.

The spelling of 39090240 in words is "thirty-nine million, ninety thousand, two hundred forty".