38770306560 has 400 divisors, whose sum is σ = 141261159600. Its totient is φ = 10160308224.

The previous prime is 38770306537. The next prime is 38770306583. The reversal of 38770306560 is 6560307783.

38770306560 is a `hidden beast` number, since 3 + 87 + 7 + 0 + 3 + 0 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (38770306537) and next prime (38770306583).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12232656 + ... + 12235824.

It is an arithmetic number, because the mean of its divisors is an integer number (353152899).

Almost surely, 2^38770306560 is an apocalyptic number.

38770306560 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 38770306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70630579800).

38770306560 is an abundant number, since it is smaller than the sum of its proper divisors (102490853040).

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

38770306560 is an equidigital number, since it uses as much as digits as its factorization.

38770306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 38770306560 in words is "thirty-eight billion, seven hundred seventy million, three hundred six thousand, five hundred sixty".