38004177847040 has 144 divisors (see below), whose sum is σ = 91789070123520. Its totient is φ = 15075383930880.

The previous prime is 38004177847037. The next prime is 38004177847099. The reversal of 38004177847040 is 4074877140083.

It is a super-3 number, since 3×38004177847040³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 249263951 + ... + 249416369.

It is an arithmetic number, because the mean of its divisors is an integer number (637424098080).

Almost surely, 2^{38004177847040} 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 38004177847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45894535061760).

38004177847040 is an abundant number, since it is smaller than the sum of its proper divisors (53784892276480).

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

38004177847040 is a wasteful number, since it uses less digits than its factorization.

38004177847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154058 (or 154044 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 53.

The spelling of 38004177847040 in words is "thirty-eight trillion, four billion, one hundred seventy-seven million, eight hundred forty-seven thousand, forty".