38967000 has 128 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 10032000.

The previous prime is 38966989. The next prime is 38967007. The reversal of 38967000 is 76983.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38967007) 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, 92791 + ... + 93209.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^38967000 is an apocalyptic number.

38967000 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 38967000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

38967000 is an abundant number, since it is smaller than the sum of its proper divisors (86831400).

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

38967000 is a wasteful number, since it uses less digits than its factorization.

38967000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 38967000 is about 6242.3553247152. The cubic root of 38967000 is about 339.0254677571.

The spelling of 38967000 in words is "thirty-eight million, nine hundred sixty-seven thousand".