38376000 has 336 divisors, whose sum is σ = 151442928. Its totient is φ = 9216000.

The previous prime is 38375977. The next prime is 38376001. The reversal of 38376000 is 67383.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 29942784 + 8433216 = 5472^2 + 2904^2 .

It is not an unprimeable number, because it can be changed into a prime (38376001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935980 + ... + 936020.

It is an arithmetic number, because the mean of its divisors is an integer number (450723).

Almost surely, 2^38376000 is an apocalyptic number.

38376000 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 38376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75721464).

38376000 is an abundant number, since it is smaller than the sum of its proper divisors (113066928).

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

38376000 is a wasteful number, since it uses less digits than its factorization.

38376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 38376000 is about 6194.8365595873. The cubic root of 38376000 is about 337.3027654172.

The spelling of 38376000 in words is "thirty-eight million, three hundred seventy-six thousand".