38200448 has 64 divisors (see below), whose sum is σ = 89449920. Its totient is φ = 16020480.

The previous prime is 38200427. The next prime is 38200451. The reversal of 38200448 is 84400283.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 38200448.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17261 + ... + 19347.

It is an arithmetic number, because the mean of its divisors is an integer number (1397655).

Almost surely, 2^38200448 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 38200448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44724960).

38200448 is an abundant number, since it is smaller than the sum of its proper divisors (51249472).

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

38200448 is a wasteful number, since it uses less digits than its factorization.

38200448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 38200448 is about 6180.6510983876. The cubic root of 38200448 is about 336.7876457461.

The spelling of 38200448 in words is "thirty-eight million, two hundred thousand, four hundred forty-eight".