3363840000 has 420 divisors, whose sum is σ = 12308908326. Its totient is φ = 884736000.

The previous prime is 3363839993. The next prime is 3363840017. The reversal of 3363840000 is 483633.

It can be written as a sum of positive squares in 5 ways, for example, as 68161536 + 3295678464 = 8256^2 + 57408^2 .

It is a super-2 number, since 2×3363840000² = 22630839091200000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 46079964 + ... + 46080036.

Almost surely, 2^3363840000 is an apocalyptic number.

3363840000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3363840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6154454163).

3363840000 is an abundant number, since it is smaller than the sum of its proper divisors (8945068326).

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

3363840000 is an frugal number, since it uses more digits than its factorization.

3363840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3363840000 is about 57998.6206732539. The cubic root of 3363840000 is about 1498.3448409708.

The spelling of 3363840000 in words is "three billion, three hundred sixty-three million, eight hundred forty thousand".