3728350289160 has 192 divisors, whose sum is σ = 13853953152000. Its totient is φ = 851837741568.

The previous prime is 3728350289107. The next prime is 3728350289161. The reversal of 3728350289160 is 619820538273.

3728350289160 is a `hidden beast` number, since 3 + 7 + 2 + 8 + 350 + 289 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×3728350289160² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3728350289097 and 3728350289106.

It is not an unprimeable number, because it can be changed into a prime (3728350289161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5737122 + ... + 6353838.

It is an arithmetic number, because the mean of its divisors is an integer number (72156006000).

Almost surely, 2^{3728350289160} is an apocalyptic number.

3728350289160 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 3728350289160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926976576000).

3728350289160 is an abundant number, since it is smaller than the sum of its proper divisors (10125602862840).

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

3728350289160 is a wasteful number, since it uses less digits than its factorization.

3728350289160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619140 (or 619133 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3728350289160 in words is "three trillion, seven hundred twenty-eight billion, three hundred fifty million, two hundred eighty-nine thousand, one hundred sixty".