38721486978720 has 4608 divisors, whose sum is σ = 194214212075520. Its totient is φ = 7043100180480.

The previous prime is 38721486978719. The next prime is 38721486978787. The reversal of 38721486978720 is 2787968412783.

It is a happy number.

38721486978720 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 1 + 486 + 9 + 78 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 35426794494 + ... + 35426795586.

It is an arithmetic number, because the mean of its divisors is an integer number (42147181440).

Almost surely, 2^{38721486978720} is an apocalyptic number.

38721486978720 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 38721486978720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97107106037760).

38721486978720 is an abundant number, since it is smaller than the sum of its proper divisors (155492725096800).

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

38721486978720 is a wasteful number, since it uses less digits than its factorization.

38721486978720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 38721486978720 in words is "thirty-eight trillion, seven hundred twenty-one billion, four hundred eighty-six million, nine hundred seventy-eight thousand, seven hundred twenty".