38576225502360 has 640 divisors, whose sum is σ = 159678046725120. Its totient is φ = 8134173508608.

The previous prime is 38576225502337. The next prime is 38576225502377. The reversal of 38576225502360 is 6320552267583.

38576225502360 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 6 + 2 + 2 + 550 + 23 + 60 = 666.

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 = 38576225502297 and 38576225502306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 491459037 + ... + 491537523.

It is an arithmetic number, because the mean of its divisors is an integer number (249496948008).

Almost surely, 2^{38576225502360} is an apocalyptic number.

38576225502360 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 38576225502360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79839023362560).

38576225502360 is an abundant number, since it is smaller than the sum of its proper divisors (121101821222760).

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

38576225502360 is a wasteful number, since it uses less digits than its factorization.

38576225502360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80197 (or 80184 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 38576225502360 in words is "thirty-eight trillion, five hundred seventy-six billion, two hundred twenty-five million, five hundred two thousand, three hundred sixty".