38726260388544 has 224 divisors, whose sum is σ = 108148899962880. Its totient is φ = 12196164584448.

The previous prime is 38726260388531. The next prime is 38726260388597. The reversal of 38726260388544 is 44588306262783.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4885357509 + ... + 4885365435.

It is an arithmetic number, because the mean of its divisors is an integer number (482807589120).

Almost surely, 2^{38726260388544} 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 38726260388544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54074449981440).

38726260388544 is an abundant number, since it is smaller than the sum of its proper divisors (69422639574336).

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

38726260388544 is a wasteful number, since it uses less digits than its factorization.

38726260388544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11427 (or 11417 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 66.

The spelling of 38726260388544 in words is "thirty-eight trillion, seven hundred twenty-six billion, two hundred sixty million, three hundred eighty-eight thousand, five hundred forty-four".