3309868800 has 324 divisors, whose sum is σ = 13525679440. Its totient is φ = 756449280.

The previous prime is 3309868769. The next prime is 3309868817. The reversal of 3309868800 is 88689033.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 399096 + ... + 407304.

Almost surely, 2^3309868800 is an apocalyptic number.

3309868800 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 3309868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6762839720).

3309868800 is an abundant number, since it is smaller than the sum of its proper divisors (10215810640).

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

3309868800 is a wasteful number, since it uses less digits than its factorization.

3309868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3309868800 is about 57531.4592201519. The cubic root of 3309868800 is about 1490.2881895302.

The spelling of 3309868800 in words is "three billion, three hundred nine million, eight hundred sixty-eight thousand, eight hundred".