3384760821 has 16 divisors (see below), whose sum is σ = 4864809600. Its totient is φ = 2080941120.

The previous prime is 3384760807. The next prime is 3384760829. The reversal of 3384760821 is 1280674833.

It is not a de Polignac number, because 3384760821 - 2¹⁹ = 3384236533 is a prime.

It is a super-3 number, since 3×3384760821³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384760829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480 + ... + 82278.

It is an arithmetic number, because the mean of its divisors is an integer number (304050600).

Almost surely, 2^3384760821 is an apocalyptic number.

It is an amenable number.

3384760821 is a deficient number, since it is larger than the sum of its proper divisors (1480048779).

3384760821 is a wasteful number, since it uses less digits than its factorization.

3384760821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82876.

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 3384760821 is about 58178.6973126762. The cubic root of 3384760821 is about 1501.4446557554. Note that the first 3 decimals are identical.

The spelling of 3384760821 in words is "three billion, three hundred eighty-four million, seven hundred sixty thousand, eight hundred twenty-one".