38932000 has 48 divisors (see below), whose sum is σ = 95665752. Its totient is φ = 15571200.

The previous prime is 38931967. The next prime is 38932037. The reversal of 38932000 is 23983.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19324816 + 19607184 = 4396^2 + 4428^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 867 + ... + 8866.

Almost surely, 2^38932000 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 38932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47832876).

38932000 is an abundant number, since it is smaller than the sum of its proper divisors (56733752).

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

38932000 is an equidigital number, since it uses as much as digits as its factorization.

38932000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9758 (or 9740 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 38932000 is about 6239.5512659165. The cubic root of 38932000 is about 338.9239335891.

Adding to 38932000 its reverse (23983), we get a palindrome (38955983).

The spelling of 38932000 in words is "thirty-eight million, nine hundred thirty-two thousand".