38383849728 has 540 divisors, whose sum is σ = 136872316812. Its totient is φ = 10659962880.

The previous prime is 38383849711. The next prime is 38383849771. The reversal of 38383849728 is 82794838383.

It can be written as a sum of positive squares in 2 ways, for example, as 29019803904 + 9364045824 = 170352^2 + 96768^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37593858 + ... + 37594878.

Almost surely, 2^38383849728 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 38383849728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68436158406).

38383849728 is an abundant number, since it is smaller than the sum of its proper divisors (98488467084).

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

38383849728 is a wasteful number, since it uses less digits than its factorization.

38383849728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1070 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 38383849728 in words is "thirty-eight billion, three hundred eighty-three million, eight hundred forty-nine thousand, seven hundred twenty-eight".