38879952 has 160 divisors (see below), whose sum is σ = 115706880. Its totient is φ = 11182080.

The previous prime is 38879891. The next prime is 38879957. The reversal of 38879952 is 25997883.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (1088640) is a multiple of the sum of its prime divisors (135).

It is a junction number, because it is equal to n+sod(n) for n = 38879895 and 38879904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38879957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 733558 + ... + 733610.

It is an arithmetic number, because the mean of its divisors is an integer number (723168).

Almost surely, 2^38879952 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 38879952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57853440).

38879952 is an abundant number, since it is smaller than the sum of its proper divisors (76826928).

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

38879952 is a wasteful number, since it uses less digits than its factorization.

38879952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 38879952 is about 6235.3790582450. The cubic root of 38879952 is about 338.7728309844.

The spelling of 38879952 in words is "thirty-eight million, eight hundred seventy-nine thousand, nine hundred fifty-two".