38171952 has 160 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 10056960.

The previous prime is 38171911. The next prime is 38171971. The reversal of 38171952 is 25917183.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (15120) is a multiple of the sum of its prime factors (1008).

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, 38827 + ... + 39797.

It is an arithmetic number, because the mean of its divisors is an integer number (843696).

Almost surely, 2^38171952 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 38171952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

38171952 is an abundant number, since it is smaller than the sum of its proper divisors (96819408).

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

38171952 is a wasteful number, since it uses less digits than its factorization.

38171952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 996 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 38171952 is about 6178.3454095737. The cubic root of 38171952 is about 336.7038815618.

The spelling of 38171952 in words is "thirty-eight million, one hundred seventy-one thousand, nine hundred fifty-two".