3790820682009 has 9 divisors (see below), whose sum is σ = 5475638311039. Its totient is φ = 2527209894000.

The previous prime is 3790820681911. The next prime is 3790820682031. The reversal of 3790820682009 is 9002860280973.

It is a happy number.

The square root of 3790820682009 is 1947003.

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

3790820682009 is a `hidden beast` number, since 379 + 0 + 8 + 2 + 0 + 68 + 200 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 754026512409 + 3036794169600 = 868347^2 + 1742640^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 3790820682009 - 2¹⁵ = 3790820649241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3790820612009) 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, 5516509 + ... + 6165509.

Almost surely, 2^{3790820682009} is an apocalyptic number.

3790820682009 is the 1947003-rd square number.

3790820682009 is the 973502-nd centered octagonal number.

It is an amenable number.

3790820682009 is a deficient number, since it is larger than the sum of its proper divisors (1684817629030).

3790820682009 is an frugal number, since it uses more digits than its factorization.

3790820682009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298008 (or 649004 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 3790820682009 in words is "three trillion, seven hundred ninety billion, eight hundred twenty million, six hundred eighty-two thousand, nine".