3763680000 has 180 divisors, whose sum is σ = 12518686488. Its totient is φ = 1003520000.

The previous prime is 3763679977. The next prime is 3763680007. The reversal of 3763680000 is 863673.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3763680007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 476080 + ... + 483920.

Almost surely, 2^3763680000 is an apocalyptic number.

3763680000 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 3763680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259343244).

3763680000 is an abundant number, since it is smaller than the sum of its proper divisors (8755006488).

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

3763680000 is an frugal number, since it uses more digits than its factorization.

3763680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7880 (or 7851 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3763680000 is about 61348.8386198141. The cubic root of 3763680000 is about 1555.5031577211.

The spelling of 3763680000 in words is "three billion, seven hundred sixty-three million, six hundred eighty thousand".