3788923541760 has 864 divisors, whose sum is σ = 15324476294400. Its totient is φ = 863963283456.

The previous prime is 3788923541759. The next prime is 3788923541771. The reversal of 3788923541760 is 671453298873.

3788923541760 is a `hidden beast` number, since 3 + 7 + 8 + 8 + 9 + 23 + 541 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2161393044 + ... + 2161394796.

It is a 1-persistent number, because it is pandigital, but 2⋅3788923541760 = 7577847083520 is not.

Almost surely, 2^{3788923541760} is an apocalyptic number.

3788923541760 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 3788923541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7662238147200).

3788923541760 is an abundant number, since it is smaller than the sum of its proper divisors (11535552752640).

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

3788923541760 is a wasteful number, since it uses less digits than its factorization.

3788923541760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 3788923541760 in words is "three trillion, seven hundred eighty-eight billion, nine hundred twenty-three million, five hundred forty-one thousand, seven hundred sixty".