38958000 has 160 divisors (see below), whose sum is σ = 129372672. Its totient is φ = 10080000.

The previous prime is 38957977. The next prime is 38958001. The reversal of 38958000 is 85983.

It is not an unprimeable number, because it can be changed into a prime (38958001) 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, 257925 + ... + 258075.

Almost surely, 2^38958000 is an apocalyptic number.

38958000 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 38958000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64686336).

38958000 is an abundant number, since it is smaller than the sum of its proper divisors (90414672).

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

38958000 is a wasteful number, since it uses less digits than its factorization.

38958000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 38958000 is about 6241.6344013407. The cubic root of 38958000 is about 338.9993647798. Note that the first 3 decimals are identical.

The spelling of 38958000 in words is "thirty-eight million, nine hundred fifty-eight thousand".