39675040 has 96 divisors (see below), whose sum is σ = 102090240. Its totient is φ = 14515200.

The previous prime is 39675011. The next prime is 39675049. The reversal of 39675040 is 4057693.

It is a junction number, because it is equal to n+sod(n) for n = 39674987 and 39675005.

It is not an unprimeable number, because it can be changed into a prime (39675049) 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 15 ways as a sum of consecutive naturals, for example, 94030 + ... + 94450.

It is an arithmetic number, because the mean of its divisors is an integer number (1063440).

Almost surely, 2^39675040 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 39675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51045120).

39675040 is an abundant number, since it is smaller than the sum of its proper divisors (62415200).

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

39675040 is a wasteful number, since it uses less digits than its factorization.

39675040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 39675040 is about 6298.8125865118. The cubic root of 39675040 is about 341.0665470408.

The spelling of 39675040 in words is "thirty-nine million, six hundred seventy-five thousand, forty".