3728469780000 has 1080 divisors, whose sum is σ = 15610466551680. Its totient is φ = 841276800000.

The previous prime is 3728469779977. The next prime is 3728469780011. The reversal of 3728469780000 is 879648273.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 696777325 + ... + 696782675.

It is an arithmetic number, because the mean of its divisors is an integer number (14454135696).

Almost surely, 2^{3728469780000} is an apocalyptic number.

3728469780000 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 3728469780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7805233275840).

3728469780000 is an abundant number, since it is smaller than the sum of its proper divisors (11881996771680).

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

3728469780000 is a wasteful number, since it uses less digits than its factorization.

3728469780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5480 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 3728469780000 in words is "three trillion, seven hundred twenty-eight billion, four hundred sixty-nine million, seven hundred eighty thousand".