38753834233296 has 240 divisors, whose sum is σ = 124928424652416. Its totient is φ = 10080774549504.

The previous prime is 38753834233249. The next prime is 38753834233307. The reversal of 38753834233296 is 69233243835783.

38753834233296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22444626 + ... + 24109518.

Almost surely, 2^{38753834233296} 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 38753834233296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62464212326208).

38753834233296 is an abundant number, since it is smaller than the sum of its proper divisors (86174590419120).

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

38753834233296 is a wasteful number, since it uses less digits than its factorization.

38753834233296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665070 (or 1664991 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 66.

The spelling of 38753834233296 in words is "thirty-eight trillion, seven hundred fifty-three billion, eight hundred thirty-four million, two hundred thirty-three thousand, two hundred ninety-six".