38633952 has 144 divisors (see below), whose sum is σ = 121347072. Its totient is φ = 10725120.

The previous prime is 38633929. The next prime is 38634007. The reversal of 38633952 is 25933683.

It is a self number, because there is not a number n which added to its sum of digits gives 38633952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202177 + ... + 202367.

It is an arithmetic number, because the mean of its divisors is an integer number (842688).

Almost surely, 2^38633952 is an apocalyptic number.

38633952 is a gapful number since it is divisible by the number (32) 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 38633952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60673536).

38633952 is an abundant number, since it is smaller than the sum of its proper divisors (82713120).

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

38633952 is a wasteful number, since it uses less digits than its factorization.

38633952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 246 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 38633952 is about 6215.6216101047. The cubic root of 38633952 is about 338.0568278573.

The spelling of 38633952 in words is "thirty-eight million, six hundred thirty-three thousand, nine hundred fifty-two".