38687772726720 has 896 divisors, whose sum is σ = 149011607162880. Its totient is φ = 9392279961600.

The previous prime is 38687772726719. The next prime is 38687772726721. The reversal of 38687772726720 is 2762727778683.

38687772726720 is a `hidden beast` number, since 386 + 87 + 77 + 27 + 2 + 67 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (38687772726719) and next prime (38687772726721).

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 (38687772726721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2983549677 + ... + 2983562643.

It is an arithmetic number, because the mean of its divisors is an integer number (166307597280).

Almost surely, 2^{38687772726720} is an apocalyptic number.

38687772726720 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 38687772726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74505803581440).

38687772726720 is an abundant number, since it is smaller than the sum of its proper divisors (110323834436160).

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

38687772726720 is a wasteful number, since it uses less digits than its factorization.

38687772726720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13370 (or 13354 counting only the distinct ones).

The product of its (nonzero) digits is 929359872, while the sum is 72.

The spelling of 38687772726720 in words is "thirty-eight trillion, six hundred eighty-seven billion, seven hundred seventy-two million, seven hundred twenty-six thousand, seven hundred twenty".