38950746048 has 336 divisors, whose sum is σ = 118624746240. Its totient is φ = 12669364224.

The previous prime is 38950745947. The next prime is 38950746067. The reversal of 38950746048 is 84064705983.

38950746048 is a `hidden beast` number, since 38 + 9 + 507 + 4 + 60 + 48 = 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 = 38950745985 and 38950746003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148101565 + ... + 148101827.

It is an arithmetic number, because the mean of its divisors is an integer number (353049840).

Almost surely, 2^38950746048 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 38950746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59312373120).

38950746048 is an abundant number, since it is smaller than the sum of its proper divisors (79674000192).

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

38950746048 is a wasteful number, since it uses less digits than its factorization.

38950746048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 38950746048 in words is "thirty-eight billion, nine hundred fifty million, seven hundred forty-six thousand, forty-eight".