38270050560 has 1080 divisors, whose sum is σ = 165109545216. Its totient is φ = 8465264640.

The previous prime is 38270050541. The next prime is 38270050561. The reversal of 38270050560 is 6505007283.

38270050560 is a `hidden beast` number, since 3 + 82 + 70 + 0 + 505 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38270050561) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 1234517745 + ... + 1234517775.

Almost surely, 2^38270050560 is an apocalyptic number.

38270050560 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 38270050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82554772608).

38270050560 is an abundant number, since it is smaller than the sum of its proper divisors (126839494656).

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

38270050560 is an frugal number, since it uses more digits than its factorization.

38270050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 38270050560 in words is "thirty-eight billion, two hundred seventy million, fifty thousand, five hundred sixty".