3340082304 has 160 divisors (see below), whose sum is σ = 10705080540. Its totient is φ = 1027676160.

The previous prime is 3340082299. The next prime is 3340082311. The reversal of 3340082304 is 4032800433.

It can be written as a sum of positive squares in 2 ways, for example, as 3113640000 + 226442304 = 55800^2 + 15048^2 .

It is a super-2 number, since 2×3340082304² = 22312299594987896832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 122394 + ... + 147174.

Almost surely, 2^3340082304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340082304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352540270).

3340082304 is an abundant number, since it is smaller than the sum of its proper divisors (7364998236).

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

3340082304 is a wasteful number, since it uses less digits than its factorization.

3340082304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24820 (or 24799 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3340082304 is about 57793.4451646551. The cubic root of 3340082304 is about 1494.8090648502.

Adding to 3340082304 its reverse (4032800433), we get a palindrome (7372882737).

The spelling of 3340082304 in words is "three billion, three hundred forty million, eighty-two thousand, three hundred four".