38001260 has 72 divisors (see below), whose sum is σ = 90091008. Its totient is φ = 13446400.

The previous prime is 38001253. The next prime is 38001263. The reversal of 38001260 is 6210083.

38001260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (38001263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99029 + ... + 99411.

It is an arithmetic number, because the mean of its divisors is an integer number (1251264).

Almost surely, 2^38001260 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 38001260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45045504).

38001260 is an abundant number, since it is smaller than the sum of its proper divisors (52089748).

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

38001260 is a wasteful number, since it uses less digits than its factorization.

38001260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 38001260 is about 6164.5162016171. The cubic root of 38001260 is about 336.2012565064.

The spelling of 38001260 in words is "thirty-eight million, one thousand, two hundred sixty".