38333690388 has 324 divisors, whose sum is σ = 125997603732. Its totient is φ = 9762923520.

The previous prime is 38333690363. The next prime is 38333690399. The reversal of 38333690388 is 88309633383.

38333690388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 23231246724 + 15102443664 = 152418^2 + 122892^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10823898 + ... + 10827438.

It is an arithmetic number, because the mean of its divisors is an integer number (388881493).

Almost surely, 2^38333690388 is an apocalyptic number.

38333690388 is a gapful number since it is divisible by the number (38) 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 38333690388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62998801866).

38333690388 is an abundant number, since it is smaller than the sum of its proper divisors (87663913344).

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

38333690388 is a wasteful number, since it uses less digits than its factorization.

38333690388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 38333690388 in words is "thirty-eight billion, three hundred thirty-three million, six hundred ninety thousand, three hundred eighty-eight".