37780606728 has 36 divisors (see below), whose sum is σ = 102326943615. Its totient is φ = 12592985808.

The previous prime is 37780606681. The next prime is 37780606729. The reversal of 37780606728 is 82760608773.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

37780606728 is a `hidden beast` number, since 3 + 7 + 7 + 8 + 0 + 606 + 7 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18890303364 + 18890303364 = 137442^2 + 137442^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=137442.

It is not an unprimeable number, because it can be changed into a prime (37780606729) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1637851 + ... + 1660757.

Almost surely, 2^37780606728 is an apocalyptic number.

It is an amenable number.

37780606728 is an abundant number, since it is smaller than the sum of its proper divisors (64546336887).

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

37780606728 is an frugal number, since it uses more digits than its factorization.

37780606728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45826 (or 22912 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 37780606728 in words is "thirty-seven billion, seven hundred eighty million, six hundred six thousand, seven hundred twenty-eight".