3067738238016 has 567 divisors, whose sum is σ = 9759743690151. Its totient is φ = 921090728448.

The previous prime is 3067738237981. The next prime is 3067738238023. The reversal of 3067738238016 is 6108328377603.

The square root of 3067738238016 is 1751496.

It is a perfect power (a square), and thus also a powerful number.

3067738238016 is a `hidden beast` number, since 306 + 77 + 38 + 238 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×3067738238016² (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 80 ways as a sum of consecutive naturals, for example, 18369689965 + ... + 18369690131.

Almost surely, 2^{3067738238016} is an apocalyptic number.

3067738238016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3067738238016 is the 1751496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3067738238016

3067738238016 is an abundant number, since it is smaller than the sum of its proper divisors (6692005452135).

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

3067738238016 is a wasteful number, since it uses less digits than its factorization.

3067738238016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 3067738238016 in words is "three trillion, sixty-seven billion, seven hundred thirty-eight million, two hundred thirty-eight thousand, sixteen".