38225634048 has 504 divisors, whose sum is σ = 135385975200. Its totient is φ = 10534551552.

The previous prime is 38225634037. The next prime is 38225634071. The reversal of 38225634048 is 84043652283.

38225634048 is a `hidden beast` number, since 3 + 8 + 2 + 2 + 5 + 634 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×38225634048² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38225633994 and 38225634012.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 37884168 + ... + 37885176.

Almost surely, 2^38225634048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38225634048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67692987600).

38225634048 is an abundant number, since it is smaller than the sum of its proper divisors (97160341152).

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

38225634048 is an equidigital number, since it uses as much as digits as its factorization.

38225634048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 38225634048 in words is "thirty-eight billion, two hundred twenty-five million, six hundred thirty-four thousand, forty-eight".