3340085544 has 224 divisors, whose sum is σ = 10128175200. Its totient is φ = 1028764800.

The previous prime is 3340085537. The next prime is 3340085579. The reversal of 3340085544 is 4455800433.

3340085544 is a `hidden beast` number, since 3 + 34 + 0 + 0 + 85 + 544 = 666.

It is a super-2 number, since 2×3340085544² = 22312342882475551872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3340085499 and 3340085508.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4764394 + ... + 4765094.

Almost surely, 2^3340085544 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 3340085544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5064087600).

3340085544 is an abundant number, since it is smaller than the sum of its proper divisors (6788089656).

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

3340085544 is a wasteful number, since it uses less digits than its factorization.

3340085544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 3340085544 is about 57793.4731955089. The cubic root of 3340085544 is about 1494.8095481896.

Adding to 3340085544 its reverse (4455800433), we get a palindrome (7795885977).

The spelling of 3340085544 in words is "three billion, three hundred forty million, eighty-five thousand, five hundred forty-four".