38126000 has 80 divisors (see below), whose sum is σ = 100627488. Its totient is φ = 13856000.

The previous prime is 38125999. The next prime is 38126009. The reversal of 38126000 is 62183.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (38126009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21134 + ... + 22866.

Almost surely, 2^38126000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50313744).

38126000 is an abundant number, since it is smaller than the sum of its proper divisors (62501488).

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

38126000 is a wasteful number, since it uses less digits than its factorization.

38126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 38126000 is about 6174.6254947163. The cubic root of 38126000 is about 336.5687174891.

Adding to 38126000 its reverse (62183), we get a palindrome (38188183).

The spelling of 38126000 in words is "thirty-eight million, one hundred twenty-six thousand".