38105740800 has 360 divisors, whose sum is σ = 138433333896. Its totient is φ = 10007838720.

The previous prime is 38105740763. The next prime is 38105740807. The reversal of 38105740800 is 804750183.

38105740800 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 574 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38105740807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7715932 + ... + 7720868.

Almost surely, 2^38105740800 is an apocalyptic number.

38105740800 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 38105740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69216666948).

38105740800 is an abundant number, since it is smaller than the sum of its proper divisors (100327593096).

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

38105740800 is a wasteful number, since it uses less digits than its factorization.

38105740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 38105740800 in words is "thirty-eight billion, one hundred five million, seven hundred forty thousand, eight hundred".