37735782049 has 9 divisors (see below), whose sum is σ = 43898307921. Its totient is φ = 32343790500.

The previous prime is 37735782023. The next prime is 37735782053. The reversal of 37735782049 is 94028753773.

The square root of 37735782049 is 194257.

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

It is not a de Polignac number, because 37735782049 - 2⁵ = 37735782017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37735782649) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1345924 + ... + 1373674.

It is an arithmetic number, because the mean of its divisors is an integer number (4877589769).

Almost surely, 2^37735782049 is an apocalyptic number.

37735782049 is the 194257-th square number.

37735782049 is the 97129-th centered octagonal number.

It is an amenable number.

37735782049 is a deficient number, since it is larger than the sum of its proper divisors (6162525872).

37735782049 is an frugal number, since it uses more digits than its factorization.

37735782049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55516 (or 27758 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 55.

The spelling of 37735782049 in words is "thirty-seven billion, seven hundred thirty-five million, seven hundred eighty-two thousand, forty-nine".