38880360 has 96 divisors (see below), whose sum is σ = 133815240. Its totient is φ = 9756672.

The previous prime is 38880353. The next prime is 38880371. The reversal of 38880360 is 6308883.

It can be written as a sum of positive squares in 4 ways, for example, as 34644996 + 4235364 = 5886^2 + 2058^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2944 + ... + 9296.

Almost surely, 2^38880360 is an apocalyptic number.

38880360 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 38880360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66907620).

38880360 is an abundant number, since it is smaller than the sum of its proper divisors (94934880).

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

38880360 is a wasteful number, since it uses less digits than its factorization.

38880360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6387 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38880360 is about 6235.4117746946. The cubic root of 38880360 is about 338.7740159895.

The spelling of 38880360 in words is "thirty-eight million, eight hundred eighty thousand, three hundred sixty".