38268000 has 144 divisors (see below), whose sum is σ = 135940896. Its totient is φ = 10195200.

The previous prime is 38267959. The next prime is 38268001. The reversal of 38268000 is 86283.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38268001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35469 + ... + 36531.

It is an arithmetic number, because the mean of its divisors is an integer number (944034).

Almost surely, 2^38268000 is an apocalyptic number.

38268000 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 38268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67970448).

38268000 is an abundant number, since it is smaller than the sum of its proper divisors (97672896).

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

38268000 is a wasteful number, since it uses less digits than its factorization.

38268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38268000 is about 6186.1134810154. The cubic root of 38268000 is about 336.9860490193.

The spelling of 38268000 in words is "thirty-eight million, two hundred sixty-eight thousand".