38165940 has 72 divisors (see below), whose sum is σ = 118486368. Its totient is φ = 9938880.

The previous prime is 38165923. The next prime is 38165971. The reversal of 38165940 is 4956183.

38165940 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 = 38165895 and 38165904.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5275 + ... + 10205.

It is an arithmetic number, because the mean of its divisors is an integer number (1645644).

Almost surely, 2^38165940 is an apocalyptic number.

38165940 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 38165940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59243184).

38165940 is an abundant number, since it is smaller than the sum of its proper divisors (80320428).

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

38165940 is a wasteful number, since it uses less digits than its factorization.

38165940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 38165940 is about 6177.8588523857. The cubic root of 38165940 is about 336.6862039224.

The spelling of 38165940 in words is "thirty-eight million, one hundred sixty-five thousand, nine hundred forty".