3366242880 has 896 divisors, whose sum is σ = 14944075776. Its totient is φ = 619315200.

The previous prime is 3366242801. The next prime is 3366242897. The reversal of 3366242880 is 882426633.

It is a super-2 number, since 2×3366242880² = 22663182254301388800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 29789704 + ... + 29789816.

It is an arithmetic number, because the mean of its divisors is an integer number (16678656).

Almost surely, 2^3366242880 is an apocalyptic number.

3366242880 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 3366242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7472037888).

3366242880 is an abundant number, since it is smaller than the sum of its proper divisors (11577832896).

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

3366242880 is a wasteful number, since it uses less digits than its factorization.

3366242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 3366242880 is about 58019.3319506524. The cubic root of 3366242880 is about 1498.7015251887.

The spelling of 3366242880 in words is "three billion, three hundred sixty-six million, two hundred forty-two thousand, eight hundred eighty".