3788460910080 has 640 divisors, whose sum is σ = 16777493314560. Its totient is φ = 787211550720.

The previous prime is 3788460910001. The next prime is 3788460910093. The reversal of 3788460910080 is 800190648873.

3788460910080 is a `hidden beast` number, since 3 + 78 + 8 + 460 + 9 + 100 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 3788460909999 and 3788460910026.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4966332 + ... + 5678148.

It is an arithmetic number, because the mean of its divisors is an integer number (26214833304).

Almost surely, 2^{3788460910080} is an apocalyptic number.

3788460910080 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 3788460910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388746657280).

3788460910080 is an abundant number, since it is smaller than the sum of its proper divisors (12989032404480).

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

3788460910080 is a wasteful number, since it uses less digits than its factorization.

3788460910080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711867 (or 711845 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 3788460910080 in words is "three trillion, seven hundred eighty-eight billion, four hundred sixty million, nine hundred ten thousand, eighty".