38970288 has 160 divisors (see below), whose sum is σ = 130944000. Its totient is φ = 11092032.

The previous prime is 38970263. The next prime is 38970289. The reversal of 38970288 is 88207983.

It is not an unprimeable number, because it can be changed into a prime (38970289) 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 31 ways as a sum of consecutive naturals, for example, 148045 + ... + 148307.

It is an arithmetic number, because the mean of its divisors is an integer number (818400).

Almost surely, 2^38970288 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 38970288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65472000).

38970288 is an abundant number, since it is smaller than the sum of its proper divisors (91973712).

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

38970288 is a wasteful number, since it uses less digits than its factorization.

38970288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 38970288 is about 6242.6186812907. The cubic root of 38970288 is about 339.0350030424.

The spelling of 38970288 in words is "thirty-eight million, nine hundred seventy thousand, two hundred eighty-eight".