2038746938976 has 720 divisors, whose sum is σ = 7097580761040. Its totient is φ = 571517337600.

The previous prime is 2038746938971. The next prime is 2038746938989. The reversal of 2038746938976 is 6798396478302.

2038746938976 is a `hidden beast` number, since 2 + 0 + 3 + 87 + 469 + 3 + 89 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038746938971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 314569656 + ... + 314576136.

It is an arithmetic number, because the mean of its divisors is an integer number (9857751057).

Almost surely, 2^{2038746938976} 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 2038746938976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548790380520).

2038746938976 is an abundant number, since it is smaller than the sum of its proper divisors (5058833822064).

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

2038746938976 is a wasteful number, since it uses less digits than its factorization.

2038746938976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6601 (or 6573 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 2038746938976 in words is "two trillion, thirty-eight billion, seven hundred forty-six million, nine hundred thirty-eight thousand, nine hundred seventy-six".