38382124 has 72 divisors (see below), whose sum is σ = 81941328. Its totient is φ = 15544320.

The previous prime is 38382119. The next prime is 38382131. The reversal of 38382124 is 42128383.

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 23 ways as a sum of consecutive naturals, for example, 395644 + ... + 395740.

It is an arithmetic number, because the mean of its divisors is an integer number (1138074).

Almost surely, 2^38382124 is an apocalyptic number.

38382124 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

38382124 is an abundant number, since it is smaller than the sum of its proper divisors (43559204).

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

38382124 is a wasteful number, since it uses less digits than its factorization.

38382124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 38382124 is about 6195.3308224824. The cubic root of 38382124 is about 337.3207065981.

The spelling of 38382124 in words is "thirty-eight million, three hundred eighty-two thousand, one hundred twenty-four".