38385840 has 160 divisors (see below), whose sum is σ = 125991936. Its totient is φ = 9656320.

The previous prime is 38385839. The next prime is 38385857. The reversal of 38385840 is 4858383.

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 31 ways as a sum of consecutive naturals, for example, 462439 + ... + 462521.

Almost surely, 2^38385840 is an apocalyptic number.

38385840 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 38385840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62995968).

38385840 is an abundant number, since it is smaller than the sum of its proper divisors (87606096).

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

38385840 is a wasteful number, since it uses less digits than its factorization.

38385840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 38385840 is about 6195.6307184983. The cubic root of 38385840 is about 337.3315922497.

The spelling of 38385840 in words is "thirty-eight million, three hundred eighty-five thousand, eight hundred forty".