38010000 has 200 divisors, whose sum is σ = 141004864. Its totient is φ = 8640000.

The previous prime is 38009941. The next prime is 38010019. The reversal of 38010000 is 1083.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209910 + ... + 210090.

Almost surely, 2^38010000 is an apocalyptic number.

38010000 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 38010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70502432).

38010000 is an abundant number, since it is smaller than the sum of its proper divisors (102994864).

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

38010000 is a wasteful number, since it uses less digits than its factorization.

38010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 38010000 is about 6165.2250567193. The cubic root of 38010000 is about 336.2270291057.

Adding to 38010000 its reverse (1083), we get a palindrome (38011083).

It can be divided in two parts, 3 and 8010000, that added together give a triangular number (8010003 = T₄₀₀₂).

The spelling of 38010000 in words is "thirty-eight million, ten thousand".