38813203296 has 192 divisors, whose sum is σ = 133551452160. Its totient is φ = 10731709440.

The previous prime is 38813203267. The next prime is 38813203301. The reversal of 38813203296 is 69230231883.

38813203296 is a `hidden beast` number, since 38 + 8 + 1 + 320 + 3 + 296 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83980 + ... + 290996.

It is an arithmetic number, because the mean of its divisors is an integer number (695580480).

Almost surely, 2^38813203296 is an apocalyptic number.

38813203296 is a gapful number since it is divisible by the number (36) 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 38813203296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66775726080).

38813203296 is an abundant number, since it is smaller than the sum of its proper divisors (94738248864).

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

38813203296 is a wasteful number, since it uses less digits than its factorization.

38813203296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207074 (or 207060 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 38813203296 in words is "thirty-eight billion, eight hundred thirteen million, two hundred three thousand, two hundred ninety-six".