38388000 has 192 divisors, whose sum is σ = 144039168. Its totient is φ = 8755200.

The previous prime is 38387977. The next prime is 38388017. The reversal of 38388000 is 88383.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83772 + ... + 84228.

It is an arithmetic number, because the mean of its divisors is an integer number (750204).

Almost surely, 2^38388000 is an apocalyptic number.

38388000 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 38388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72019584).

38388000 is an abundant number, since it is smaller than the sum of its proper divisors (105651168).

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

38388000 is a wasteful number, since it uses less digits than its factorization.

38388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 38388000 is about 6195.8050324393. The cubic root of 38388000 is about 337.3379194316.

The spelling of 38388000 in words is "thirty-eight million, three hundred eighty-eight thousand".