38557345050 has 432 divisors, whose sum is σ = 128150672832. Its totient is φ = 8135769600.

The previous prime is 38557345037. The next prime is 38557345087. The reversal of 38557345050 is 5054375583.

38557345050 is a `hidden beast` number, since 3 + 8 + 557 + 3 + 45 + 0 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 38557344987 and 38557345005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 46622737 + ... + 46623563.

It is an arithmetic number, because the mean of its divisors is an integer number (296645076).

Almost surely, 2^38557345050 is an apocalyptic number.

38557345050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38557345050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64075336416).

38557345050 is an abundant number, since it is smaller than the sum of its proper divisors (89593327782).

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

38557345050 is a wasteful number, since it uses less digits than its factorization.

38557345050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 38557345050 in words is "thirty-eight billion, five hundred fifty-seven million, three hundred forty-five thousand, fifty".