3305491200 has 864 divisors, whose sum is σ = 13869112320. Its totient is φ = 763084800.

The previous prime is 3305491193. The next prime is 3305491229. The reversal of 3305491200 is 21945033.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 70329577 + ... + 70329623.

Almost surely, 2^3305491200 is an apocalyptic number.

3305491200 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 3305491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6934556160).

3305491200 is an abundant number, since it is smaller than the sum of its proper divisors (10563621120).

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

3305491200 is a wasteful number, since it uses less digits than its factorization.

3305491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3305491200 is about 57493.4013605040. The cubic root of 3305491200 is about 1489.6308861515.

The spelling of 3305491200 in words is "three billion, three hundred five million, four hundred ninety-one thousand, two hundred".