38098944 has 192 divisors, whose sum is σ = 123832800. Its totient is φ = 11501568.

The previous prime is 38098943. The next prime is 38098987. The reversal of 38098944 is 44989083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 38098944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38098943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718822 + ... + 718874.

Almost surely, 2^38098944 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 38098944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916400).

38098944 is an abundant number, since it is smaller than the sum of its proper divisors (85733856).

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

38098944 is a wasteful number, since it uses less digits than its factorization.

38098944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 38098944 is about 6172.4342037805. The cubic root of 38098944 is about 336.4890836598.

The spelling of 38098944 in words is "thirty-eight million, ninety-eight thousand, nine hundred forty-four".