3728909721600 has 3024 divisors, whose sum is σ = 17070505386480. Its totient is φ = 772905369600.

The previous prime is 3728909721583. The next prime is 3728909721629. The reversal of 3728909721600 is 61279098273.

3728909721600 is a `hidden beast` number, since 3 + 7 + 2 + 8 + 9 + 0 + 9 + 7 + 21 + 600 = 666.

It is a super-3 number, since 3×3728909721600³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 70356787174 + ... + 70356787226.

It is an arithmetic number, because the mean of its divisors is an integer number (5645008395).

Almost surely, 2^{3728909721600} is an apocalyptic number.

3728909721600 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 3728909721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8535252693240).

3728909721600 is an abundant number, since it is smaller than the sum of its proper divisors (13341595664880).

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

3728909721600 is a wasteful number, since it uses less digits than its factorization.

3728909721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 3728909721600 in words is "three trillion, seven hundred twenty-eight billion, nine hundred nine million, seven hundred twenty-one thousand, six hundred".