38103680 has 64 divisors (see below), whose sum is σ = 94278600. Its totient is φ = 14708736.

The previous prime is 38103679. The next prime is 38103701. The reversal of 38103680 is 8630183.

It can be written as a sum of positive squares in 4 ways, for example, as 31091776 + 7011904 = 5576^2 + 2648^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 17534 + ... + 19586.

Almost surely, 2^38103680 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 38103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47139300).

38103680 is an abundant number, since it is smaller than the sum of its proper divisors (56174920).

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

38103680 is a wasteful number, since it uses less digits than its factorization.

38103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 38103680 is about 6172.8178330484. The cubic root of 38103680 is about 336.5030258334.

It can be divided in two parts, 38103 and 680, that added together give a palindrome (38783).

The spelling of 38103680 in words is "thirty-eight million, one hundred three thousand, six hundred eighty".