3768885146880 has 864 divisors, whose sum is σ = 15039769006080. Its totient is φ = 853586657280.

The previous prime is 3768885146861. The next prime is 3768885146909. The reversal of 3768885146880 is 886415888673.

3768885146880 is a `hidden beast` number, since 3 + 7 + 6 + 8 + 8 + 85 + 1 + 468 + 80 = 666.

It is a super-3 number, since 3×3768885146880³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3768885146799 and 3768885146808.

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 95 ways as a sum of consecutive naturals, for example, 5454247335 + ... + 5454248025.

Almost surely, 2^{3768885146880} is an apocalyptic number.

3768885146880 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 3768885146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7519884503040).

3768885146880 is an abundant number, since it is smaller than the sum of its proper divisors (11270883859200).

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

3768885146880 is a wasteful number, since it uses less digits than its factorization.

3768885146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 3768885146880 in words is "three trillion, seven hundred sixty-eight billion, eight hundred eighty-five million, one hundred forty-six thousand, eight hundred eighty".