38507000 has 64 divisors (see below), whose sum is σ = 102997440. Its totient is φ = 13200000.

The previous prime is 38506997. The next prime is 38507003. The reversal of 38507000 is 70583.

38507000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38506997) and next prime (38507003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38507003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4250 + ... + 9750.

It is an arithmetic number, because the mean of its divisors is an integer number (1609335).

Almost surely, 2^38507000 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 38507000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51498720).

38507000 is an abundant number, since it is smaller than the sum of its proper divisors (64490440).

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

38507000 is a wasteful number, since it uses less digits than its factorization.

38507000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5529 (or 5515 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 38507000 is about 6205.4008734328. The cubic root of 38507000 is about 337.6861341806.

Adding to 38507000 its reverse (70583), we get a palindrome (38577583).

The spelling of 38507000 in words is "thirty-eight million, five hundred seven thousand".