38194100305920 has 480 divisors, whose sum is σ = 142592316867000. Its totient is φ = 9401549193216.

The previous prime is 38194100305913. The next prime is 38194100305937. The reversal of 38194100305920 is 2950300149183.

It is a happy number.

38194100305920 is a `hidden beast` number, since 3 + 8 + 19 + 4 + 10 + 0 + 30 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34014463524864 + 4179636781056 = 5832192^2 + 2044416^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306646216 + ... + 306770744.

Almost surely, 2^{38194100305920} is an apocalyptic number.

38194100305920 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 38194100305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71296158433500).

38194100305920 is an abundant number, since it is smaller than the sum of its proper divisors (104398216561080).

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

38194100305920 is an equidigital number, since it uses as much as digits as its factorization.

38194100305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124591 (or 124552 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 38194100305920 in words is "thirty-eight trillion, one hundred ninety-four billion, one hundred million, three hundred five thousand, nine hundred twenty".