3768628416000 has 1920 divisors, whose sum is σ = 15893432755200. Its totient is φ = 786839961600.

The previous prime is 3768628415983. The next prime is 3768628416017. The reversal of 3768628416000 is 6148268673.

It is an interprime number because it is at equal distance from previous prime (3768628415983) and next prime (3768628416017).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5183807637 + ... + 5183808363.

It is an arithmetic number, because the mean of its divisors is an integer number (8277829560).

Almost surely, 2^{3768628416000} is an apocalyptic number.

3768628416000 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 3768628416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7946716377600).

3768628416000 is an abundant number, since it is smaller than the sum of its proper divisors (12124804339200).

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

3768628416000 is a wasteful number, since it uses less digits than its factorization.

3768628416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 3768628416000 in words is "three trillion, seven hundred sixty-eight billion, six hundred twenty-eight million, four hundred sixteen thousand".