3704905084969 has 27 divisors (see below), whose sum is σ = 4095339699927. Its totient is φ = 3349174620000.

The previous prime is 3704905084957. The next prime is 3704905085017. The reversal of 3704905084969 is 9694805094073.

The square root of 3704905084969 is 1924813.

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

3704905084969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 752391434025 + 2952513650944 = 867405^2 + 1718288^2 .

It is not a de Polignac number, because 3704905084969 - 2³⁷ = 3567466131497 is a prime.

It is a super-3 number, since 3×3704905084969³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3704905084969.

It is not an unprimeable number, because it can be changed into a prime (3704905085969) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4933295344 + ... + 4933296094.

Almost surely, 2^{3704905084969} is an apocalyptic number.

3704905084969 is the 1924813-rd square number.

3704905084969 is the 962407-th centered octagonal number.

It is an amenable number.

3704905084969 is a deficient number, since it is larger than the sum of its proper divisors (390434614958).

3704905084969 is an frugal number, since it uses more digits than its factorization.

3704905084969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

Multiplying 3704905084969 by its sum of digits (64), we get a square (237113925438016 = 15398504²).

The spelling of 3704905084969 in words is "three trillion, seven hundred four billion, nine hundred five million, eighty-four thousand, nine hundred sixty-nine".