38631000 has 128 divisors (see below), whose sum is σ = 122803200. Its totient is φ = 10108800.

The previous prime is 38630981. The next prime is 38631031. The reversal of 38631000 is 13683.

38631000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38631000² = 2984708322000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236919 + ... + 237081.

It is an arithmetic number, because the mean of its divisors is an integer number (959400).

Almost surely, 2^38631000 is an apocalyptic number.

38631000 is a gapful number since it is divisible by the number (30) 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 38631000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61401600).

38631000 is an abundant number, since it is smaller than the sum of its proper divisors (84172200).

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

38631000 is a wasteful number, since it uses less digits than its factorization.

38631000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 38631000 is about 6215.3841393755. The cubic root of 38631000 is about 338.0482173897.

Adding to 38631000 its reverse (13683), we get a palindrome (38644683).

The spelling of 38631000 in words is "thirty-eight million, six hundred thirty-one thousand".