38001288 has 64 divisors (see below), whose sum is σ = 105638400. Its totient is φ = 11312640.

The previous prime is 38001277. The next prime is 38001289. The reversal of 38001288 is 88210083.

It is not an unprimeable number, because it can be changed into a prime (38001289) 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 15 ways as a sum of consecutive naturals, for example, 7708 + ... + 11636.

It is an arithmetic number, because the mean of its divisors is an integer number (1650600).

Almost surely, 2^38001288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38001288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52819200).

38001288 is an abundant number, since it is smaller than the sum of its proper divisors (67637112).

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

38001288 is a wasteful number, since it uses less digits than its factorization.

38001288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 38001288 is about 6164.5184726789. The cubic root of 38001288 is about 336.2013390794.

The spelling of 38001288 in words is "thirty-eight million, one thousand, two hundred eighty-eight".