38741354433600 has 1344 divisors, whose sum is σ = 168031411968000. Its totient is φ = 7743708241920.

The previous prime is 38741354433517. The next prime is 38741354433629. The reversal of 38741354433600 is 633445314783.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 406613167 + ... + 406708433.

It is an arithmetic number, because the mean of its divisors is an integer number (125023372000).

Almost surely, 2^{38741354433600} is an apocalyptic number.

38741354433600 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 38741354433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84015705984000).

38741354433600 is an abundant number, since it is smaller than the sum of its proper divisors (129290057534400).

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

38741354433600 is a wasteful number, since it uses less digits than its factorization.

38741354433600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95345 (or 95316 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 51.

The spelling of 38741354433600 in words is "thirty-eight trillion, seven hundred forty-one billion, three hundred fifty-four million, four hundred thirty-three thousand, six hundred".