38062540288 has 120 divisors (see below), whose sum is σ = 80445241800. Its totient is φ = 17987887104.

The previous prime is 38062540283. The next prime is 38062540289. The reversal of 38062540288 is 88204526083.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38062540283) 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 11 ways as a sum of consecutive naturals, for example, 24104683 + ... + 24106261.

It is an arithmetic number, because the mean of its divisors is an integer number (670377015).

Almost surely, 2^38062540288 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 38062540288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40222620900).

38062540288 is an abundant number, since it is smaller than the sum of its proper divisors (42382701512).

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

38062540288 is an equidigital number, since it uses as much as digits as its factorization.

38062540288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

It can be divided in two parts, 38062 and 540288, that added together give a triangular number (578350 = T₁₀₇₅).

The spelling of 38062540288 in words is "thirty-eight billion, sixty-two million, five hundred forty thousand, two hundred eighty-eight".