38844000 has 288 divisors, whose sum is σ = 150250464. Its totient is φ = 9446400.

The previous prime is 38843993. The next prime is 38844011. The reversal of 38844000 is 44883.

38844000 = 115³ + 116³ + ... + 134³.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467959 + ... + 468041.

It is an arithmetic number, because the mean of its divisors is an integer number (521703).

Almost surely, 2^38844000 is an apocalyptic number.

38844000 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 38844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75125232).

38844000 is an abundant number, since it is smaller than the sum of its proper divisors (111406464).

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

38844000 is a wasteful number, since it uses less digits than its factorization.

38844000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 38844000 is about 6232.4954873630. The cubic root of 38844000 is about 338.6683785503.

Adding to 38844000 its reverse (44883), we get a palindrome (38888883).

The spelling of 38844000 in words is "thirty-eight million, eight hundred forty-four thousand".