38627952 has 80 divisors (see below), whose sum is σ = 109814400. Its totient is φ = 11603200.

The previous prime is 38627947. The next prime is 38627977. The reversal of 38627952 is 25972683.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78427 + ... + 78917.

It is an arithmetic number, because the mean of its divisors is an integer number (1372680).

Almost surely, 2^38627952 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 38627952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54907200).

38627952 is an abundant number, since it is smaller than the sum of its proper divisors (71186448).

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

38627952 is a wasteful number, since it uses less digits than its factorization.

38627952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 38627952 is about 6215.1389365001. The cubic root of 38627952 is about 338.0393264467.

The spelling of 38627952 in words is "thirty-eight million, six hundred twenty-seven thousand, nine hundred fifty-two".