38075040 has 144 divisors (see below), whose sum is σ = 131557608. Its totient is φ = 10027008.

The previous prime is 38075033. The next prime is 38075047. The reversal of 38075040 is 4057083.

It is an interprime number because it is at equal distance from previous prime (38075033) and next prime (38075047).

It can be written as a sum of positive squares in 4 ways, for example, as 27499536 + 10575504 = 5244^2 + 3252^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 38074995 and 38075013.

It is not an unprimeable number, because it can be changed into a prime (38075047) 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 23 ways as a sum of consecutive naturals, for example, 197184 + ... + 197376.

Almost surely, 2^38075040 is an apocalyptic number.

38075040 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 38075040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65778804).

38075040 is an abundant number, since it is smaller than the sum of its proper divisors (93482568).

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

38075040 is a wasteful number, since it uses less digits than its factorization.

38075040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 38075040 is about 6170.4975488205. The cubic root of 38075040 is about 336.4186957260.

The spelling of 38075040 in words is "thirty-eight million, seventy-five thousand, forty".