38174138634240 has 1872 divisors, whose sum is σ = 164545956534960. Its totient is φ = 8133342658560.

The previous prime is 38174138634067. The next prime is 38174138634283. The reversal of 38174138634240 is 4243683147183.

38174138634240 is a `hidden beast` number, since 3 + 8 + 17 + 4 + 1 + 386 + 3 + 4 + 240 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1968790634496 + 36205347999744 = 1403136^2 + 6017088^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16735701900 + ... + 16735704180.

It is an arithmetic number, because the mean of its divisors is an integer number (87898481055).

Almost surely, 2^{38174138634240} is an apocalyptic number.

38174138634240 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 38174138634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82272978267480).

38174138634240 is an abundant number, since it is smaller than the sum of its proper divisors (126371817900720).

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

38174138634240 is a wasteful number, since it uses less digits than its factorization.

38174138634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 38174138634240 in words is "thirty-eight trillion, one hundred seventy-four billion, one hundred thirty-eight million, six hundred thirty-four thousand, two hundred forty".