38794191904080 has 120 divisors (see below), whose sum is σ = 130286315427840. Its totient is φ = 10344920313600.

The previous prime is 38794191904073. The next prime is 38794191904087. The reversal of 38794191904080 is 8040919149783.

38794191904080 is a `hidden beast` number, since 38 + 7 + 9 + 4 + 1 + 9 + 190 + 408 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38794191904073) and next prime (38794191904087).

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 38794191903999 and 38794191904017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38794191904087) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39366001 + ... + 40339439.

It is an arithmetic number, because the mean of its divisors is an integer number (1085719295232).

Almost surely, 2^{38794191904080} is an apocalyptic number.

38794191904080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38794191904080 is an abundant number, since it is smaller than the sum of its proper divisors (91492123523760).

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

38794191904080 is a wasteful number, since it uses less digits than its factorization.

38794191904080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028809 (or 1028800 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 38794191904080 in words is "thirty-eight trillion, seven hundred ninety-four billion, one hundred ninety-one million, nine hundred four thousand, eighty".