3768871680 has 504 divisors, whose sum is σ = 15495662112. Its totient is φ = 859963392.

The previous prime is 3768871669. The next prime is 3768871699. The reversal of 3768871680 is 861788673.

It is a tau number, because it is divible by the number of its divisors (504).

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 (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531552 + ... + 6532128.

Almost surely, 2^3768871680 is an apocalyptic number.

3768871680 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 3768871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7747831056).

3768871680 is an abundant number, since it is smaller than the sum of its proper divisors (11726790432).

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

3768871680 is an frugal number, since it uses more digits than its factorization.

3768871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 3768871680 is about 61391.1368195768. The cubic root of 3768871680 is about 1556.2180576983.

The spelling of 3768871680 in words is "three billion, seven hundred sixty-eight million, eight hundred seventy-one thousand, six hundred eighty".