38287080 has 224 divisors, whose sum is σ = 140472360. Its totient is φ = 9331200.

The previous prime is 38287069. The next prime is 38287097. The reversal of 38287080 is 8078283.

It can be written as a sum of positive squares in 4 ways, for example, as 33385284 + 4901796 = 5778^2 + 2214^2 .

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

It is an unprimeable number.

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

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 379030 + ... + 379130.

Almost surely, 2^38287080 is an apocalyptic number.

38287080 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 38287080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70236180).

38287080 is an abundant number, since it is smaller than the sum of its proper divisors (102185280).

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

38287080 is a wasteful number, since it uses less digits than its factorization.

38287080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 38287080 is about 6187.6554525927. The cubic root of 38287080 is about 337.0420455484.

The spelling of 38287080 in words is "thirty-eight million, two hundred eighty-seven thousand, eighty".