38138533920 has 144 divisors (see below), whose sum is σ = 130612291992. Its totient is φ = 10133975040.

The previous prime is 38138533913. The next prime is 38138533933. The reversal of 38138533920 is 2933583183.

38138533920 is a `hidden beast` number, since 3 + 81 + 38 + 533 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38132716176 + 5817744 = 195276^2 + 2412^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357514 + ... + 451766.

Almost surely, 2^38138533920 is an apocalyptic number.

38138533920 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 38138533920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65306145996).

38138533920 is an abundant number, since it is smaller than the sum of its proper divisors (92473758072).

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

38138533920 is a wasteful number, since it uses less digits than its factorization.

38138533920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94555 (or 94544 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 38138533920 in words is "thirty-eight billion, one hundred thirty-eight million, five hundred thirty-three thousand, nine hundred twenty".