38509640 has 64 divisors (see below), whose sum is σ = 94348800. Its totient is φ = 14061312.

The previous prime is 38509633. The next prime is 38509661. The reversal of 38509640 is 4690583.

It is a self number, because there is not a number n which added to its sum of digits gives 38509640.

It is an unprimeable number.

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, 53201 + ... + 53919.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^38509640 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 38509640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174400).

38509640 is an abundant number, since it is smaller than the sum of its proper divisors (55839160).

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

38509640 is a wasteful number, since it uses less digits than its factorization.

38509640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 38509640 is about 6205.6135877123. The cubic root of 38509640 is about 337.6938511414.

The spelling of 38509640 in words is "thirty-eight million, five hundred nine thousand, six hundred forty".