3340840000 has 175 divisors, whose sum is σ = 8801953567. Its totient is φ = 1257728000.

The previous prime is 3340839913. The next prime is 3340840003. The reversal of 3340840000 is 480433.

The square root of 3340840000 is 57800.

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

It can be written as a sum of positive squares in 12 ways, for example, as 3035569216 + 305270784 = 55096^2 + 17472^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=170.

It is a super-2 number, since 2×3340840000² = 22322423811200000000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3340840003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 196519992 + ... + 196520008.

Almost surely, 2^3340840000 is an apocalyptic number.

3340840000 is the 57800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340840000

3340840000 is an abundant number, since it is smaller than the sum of its proper divisors (5461113567).

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

3340840000 is an frugal number, since it uses more digits than its factorization.

3340840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The cubic root of 3340840000 is about 1494.9220885338.

The spelling of 3340840000 in words is "three billion, three hundred forty million, eight hundred forty thousand".