38193766380 has 1440 divisors, whose sum is σ = 168187041792. Its totient is φ = 7141478400.

The previous prime is 38193766379. The next prime is 38193766399. The reversal of 38193766380 is 8366739183.

38193766380 is a `hidden beast` number, since 3 + 8 + 193 + 76 + 6 + 380 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 479 ways as a sum of consecutive naturals, for example, 460165819 + ... + 460165901.

Almost surely, 2^38193766380 is an apocalyptic number.

38193766380 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 38193766380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84093520896).

38193766380 is an abundant number, since it is smaller than the sum of its proper divisors (129993275412).

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

38193766380 is a wasteful number, since it uses less digits than its factorization.

38193766380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 38193766380 in words is "thirty-eight billion, one hundred ninety-three million, seven hundred sixty-six thousand, three hundred eighty".