3830735387720 has 16 divisors (see below), whose sum is σ = 8619154622460. Its totient is φ = 1532294155072.

The previous prime is 3830735387693. The next prime is 3830735387723. The reversal of 3830735387720 is 277835370383.

It can be written as a sum of positive squares in 2 ways, for example, as 3455189486596 + 375545901124 = 1858814^2 + 612818^2 .

It is a super-3 number, since 3×3830735387720³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3830735387723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47884192307 + ... + 47884192386.

Almost surely, 2^{3830735387720} is an apocalyptic number.

It is an amenable number.

3830735387720 is an abundant number, since it is smaller than the sum of its proper divisors (4788419234740).

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

3830735387720 is a wasteful number, since it uses less digits than its factorization.

3830735387720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95768384704 (or 95768384700 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 56.

The spelling of 3830735387720 in words is "three trillion, eight hundred thirty billion, seven hundred thirty-five million, three hundred eighty-seven thousand, seven hundred twenty".