3345984000 has 480 divisors, whose sum is σ = 12456162576. Its totient is φ = 862617600.

The previous prime is 3345983989. The next prime is 3345984007. The reversal of 3345984000 is 4895433.

It can be written as a sum of positive squares in 8 ways, for example, as 293642496 + 3052341504 = 17136^2 + 55248^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3345984000² = 22391217856512000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3345984007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21311922 + ... + 21312078.

Almost surely, 2^3345984000 is an apocalyptic number.

3345984000 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 3345984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228081288).

3345984000 is an abundant number, since it is smaller than the sum of its proper divisors (9110178576).

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

3345984000 is a wasteful number, since it uses less digits than its factorization.

3345984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3345984000 is about 57844.4811542121. The cubic root of 3345984000 is about 1495.6889551312.

The spelling of 3345984000 in words is "three billion, three hundred forty-five million, nine hundred eighty-four thousand".