3734616789072 has 200 divisors, whose sum is σ = 11648866586280. Its totient is φ = 1148290007040.

The previous prime is 3734616788999. The next prime is 3734616789077. The reversal of 3734616789072 is 2709876164373.

3734616789072 is a `hidden beast` number, since 3 + 7 + 3 + 4 + 616 + 7 + 8 + 9 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 98410199616 + 3636206589456 = 313704^2 + 1906884^2 .

It is a super-2 number, since 2×3734616789072² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3734616789077) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23660172 + ... + 23817492.

Almost surely, 2^{3734616789072} 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 3734616789072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5824433293140).

3734616789072 is an abundant number, since it is smaller than the sum of its proper divisors (7914249797208).

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

3734616789072 is a wasteful number, since it uses less digits than its factorization.

3734616789072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158763 (or 158748 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 3734616789072 in words is "three trillion, seven hundred thirty-four billion, six hundred sixteen million, seven hundred eighty-nine thousand, seventy-two".