38726688000 has 1728 divisors, whose sum is σ = 179257688064. Its totient is φ = 7188480000.

The previous prime is 38726687999. The next prime is 38726688029. The reversal of 38726688000 is 88662783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1249247985 + ... + 1249248015.

It is an arithmetic number, because the mean of its divisors is an integer number (103737088).

Almost surely, 2^38726688000 is an apocalyptic number.

38726688000 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 38726688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89628844032).

38726688000 is an abundant number, since it is smaller than the sum of its proper divisors (140531000064).

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

38726688000 is a wasteful number, since it uses less digits than its factorization.

38726688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 38726688000 in words is "thirty-eight billion, seven hundred twenty-six million, six hundred eighty-eight thousand".