38194805376 has 1152 divisors, whose sum is σ = 150341667840. Its totient is φ = 9196830720.

The previous prime is 38194805357. The next prime is 38194805401. The reversal of 38194805376 is 67350849183.

38194805376 is a `hidden beast` number, since 3 + 8 + 194 + 80 + 5 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 523216476 + ... + 523216548.

It is an arithmetic number, because the mean of its divisors is an integer number (130504920).

Almost surely, 2^38194805376 is an apocalyptic number.

38194805376 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 38194805376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75170833920).

38194805376 is an abundant number, since it is smaller than the sum of its proper divisors (112146862464).

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

38194805376 is a wasteful number, since it uses less digits than its factorization.

38194805376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 38194805376 in words is "thirty-eight billion, one hundred ninety-four million, eight hundred five thousand, three hundred seventy-six".