39675240 has 192 divisors, whose sum is σ = 144555840. Its totient is φ = 9354240.

The previous prime is 39675179. The next prime is 39675241. The reversal of 39675240 is 4257693.

39675240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 39675195 and 39675204.

It is not an unprimeable number, because it can be changed into a prime (39675241) 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 47 ways as a sum of consecutive naturals, for example, 170164 + ... + 170396.

It is an arithmetic number, because the mean of its divisors is an integer number (752895).

Almost surely, 2^39675240 is an apocalyptic number.

39675240 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 39675240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72277920).

39675240 is an abundant number, since it is smaller than the sum of its proper divisors (104880600).

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

39675240 is a wasteful number, since it uses less digits than its factorization.

39675240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 39675240 is about 6298.8284625000. The cubic root of 39675240 is about 341.0671201399.

The spelling of 39675240 in words is "thirty-nine million, six hundred seventy-five thousand, two hundred forty".