38103760 has 40 divisors (see below), whose sum is σ = 90759816. Its totient is φ = 14868480.

The previous prime is 38103733. The next prime is 38103761. The reversal of 38103760 is 6730183.

It can be written as a sum of positive squares in 4 ways, for example, as 59536 + 38044224 = 244^2 + 6168^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×38103760² = 2903793052275200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38103761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2529 + ... + 9088.

Almost surely, 2^38103760 is an apocalyptic number.

It is an amenable number.

38103760 is an abundant number, since it is smaller than the sum of its proper divisors (52656056).

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

38103760 is a wasteful number, since it uses less digits than its factorization.

38103760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11671 (or 11665 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 38103760 is about 6172.8243130677. The cubic root of 38103760 is about 336.5032613331.

The spelling of 38103760 in words is "thirty-eight million, one hundred three thousand, seven hundred sixty".