3728735267328 has 240 divisors, whose sum is σ = 10930595772096. Its totient is φ = 1223397457920.

The previous prime is 3728735267269. The next prime is 3728735267347. The reversal of 3728735267328 is 8237625378273.

3728735267328 is a `hidden beast` number, since 3 + 7 + 2 + 8 + 73 + 526 + 7 + 32 + 8 = 666.

It is a super-2 number, since 2×3728735267328² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466496100 + ... + 466504092.

Almost surely, 2^{3728735267328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3728735267328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465297886048).

3728735267328 is an abundant number, since it is smaller than the sum of its proper divisors (7201860504768).

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

3728735267328 is a wasteful number, since it uses less digits than its factorization.

3728735267328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9595 (or 9576 counting only the distinct ones).

The product of its digits is 142248960, while the sum is 63.

The spelling of 3728735267328 in words is "three trillion, seven hundred twenty-eight billion, seven hundred thirty-five million, two hundred sixty-seven thousand, three hundred twenty-eight".