38961288 has 24 divisors (see below), whose sum is σ = 105520350. Its totient is φ = 12987072.

The previous prime is 38961271. The next prime is 38961317. The reversal of 38961288 is 88216983.

It can be written as a sum of positive squares in only one way, i.e., 38713284 + 248004 = 6222^2 + 498^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 270493 + ... + 270636.

Almost surely, 2^38961288 is an apocalyptic number.

It is an amenable number.

38961288 is an abundant number, since it is smaller than the sum of its proper divisors (66559062).

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

38961288 is a wasteful number, since it uses less digits than its factorization.

38961288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541141 (or 541134 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 38961288 is about 6241.8977883333. The cubic root of 38961288 is about 339.0089015336.

It can be divided in two parts, 3896 and 1288, that added together give a square (5184 = 72²).

The spelling of 38961288 in words is "thirty-eight million, nine hundred sixty-one thousand, two hundred eighty-eight".