38291330930112 has 896 divisors, whose sum is σ = 136269106176000. Its totient is φ = 10429206036480.

The previous prime is 38291330930107. The next prime is 38291330930147. The reversal of 38291330930112 is 21103903319283.

38291330930112 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 1 + 330 + 9 + 301 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 383657688 + ... + 383757480.

It is an arithmetic number, because the mean of its divisors is an integer number (152086056000).

Almost surely, 2^{38291330930112} is an apocalyptic number.

38291330930112 is a gapful number since it is divisible by the number (32) 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 38291330930112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68134553088000).

38291330930112 is an abundant number, since it is smaller than the sum of its proper divisors (97977775245888).

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

38291330930112 is a wasteful number, since it uses less digits than its factorization.

38291330930112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99906 (or 99890 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 38291330930112 in words is "thirty-eight trillion, two hundred ninety-one billion, three hundred thirty million, nine hundred thirty thousand, one hundred twelve".