38935333969920 has 504 divisors, whose sum is σ = 142445501624556. Its totient is φ = 9836261277696.

The previous prime is 38935333969897. The next prime is 38935333969927. The reversal of 38935333969920 is 2996933353983.

38935333969920 is a `hidden beast` number, since 3 + 8 + 9 + 3 + 533 + 3 + 9 + 69 + 9 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38777222762496 + 158111207424 = 6227136^2 + 397632^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (38935333969927) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132932754 + ... + 133225326.

Almost surely, 2^{38935333969920} is an apocalyptic number.

38935333969920 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 38935333969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71222750812278).

38935333969920 is an abundant number, since it is smaller than the sum of its proper divisors (103510167654636).

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

38935333969920 is a wasteful number, since it uses less digits than its factorization.

38935333969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292648 (or 292602 counting only the distinct ones).

The product of its (nonzero) digits is 765275040, while the sum is 72.

The spelling of 38935333969920 in words is "thirty-eight trillion, nine hundred thirty-five billion, three hundred thirty-three million, nine hundred sixty-nine thousand, nine hundred twenty".