38722786560 has 576 divisors, whose sum is σ = 142976655360. Its totient is φ = 9916784640.

The previous prime is 38722786463. The next prime is 38722786573. The reversal of 38722786560 is 6568722783.

38722786560 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 2 + 78 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38722786497 and 38722786506.

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 63 ways as a sum of consecutive naturals, for example, 105511497 + ... + 105511863.

It is an arithmetic number, because the mean of its divisors is an integer number (248223360).

Almost surely, 2^38722786560 is an apocalyptic number.

38722786560 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 38722786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71488327680).

38722786560 is an abundant number, since it is smaller than the sum of its proper divisors (104253868800).

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

38722786560 is a wasteful number, since it uses less digits than its factorization.

38722786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 38722786560 in words is "thirty-eight billion, seven hundred twenty-two million, seven hundred eighty-six thousand, five hundred sixty".