3728068344000 has 4032 divisors, whose sum is σ = 18895330142208. Its totient is φ = 680030208000.

The previous prime is 3728068343953. The next prime is 3728068344047. The reversal of 3728068344000 is 4438608273.

3728068344000 is a `hidden beast` number, since 3 + 72 + 80 + 68 + 3 + 440 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3728068343953) and next prime (3728068344047).

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 21549527914 + ... + 21549528086.

Almost surely, 2^{3728068344000} is an apocalyptic number.

3728068344000 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 3728068344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9447665071104).

3728068344000 is an abundant number, since it is smaller than the sum of its proper divisors (15167261798208).

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

3728068344000 is a wasteful number, since it uses less digits than its factorization.

3728068344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 3728068344000 in words is "three trillion, seven hundred twenty-eight billion, sixty-eight million, three hundred forty-four thousand".