38088000 has 252 divisors, whose sum is σ = 142428468. Its totient is φ = 9715200.

The previous prime is 38087983. The next prime is 38088097. The reversal of 38088000 is 88083.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1218816 + 36869184 = 1104^2 + 6072^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1655989 + ... + 1656011.

Almost surely, 2^38088000 is an apocalyptic number.

38088000 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 38088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71214234).

38088000 is an abundant number, since it is smaller than the sum of its proper divisors (104340468).

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

38088000 is a wasteful number, since it uses less digits than its factorization.

38088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 38088000 is about 6171.5476178994. The cubic root of 38088000 is about 336.4568615139.

The spelling of 38088000 in words is "thirty-eight million, eighty-eight thousand".