3363530880 has 256 divisors, whose sum is σ = 11134972800. Its totient is φ = 862912512.

The previous prime is 3363530873. The next prime is 3363530881. The reversal of 3363530880 is 880353633.

It is a super-2 number, since 2×3363530880² = 22626679961427148800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3363530881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8027311 + ... + 8027729.

Almost surely, 2^3363530880 is an apocalyptic number.

3363530880 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 3363530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567486400).

3363530880 is an abundant number, since it is smaller than the sum of its proper divisors (7771441920).

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

3363530880 is a wasteful number, since it uses less digits than its factorization.

3363530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 3363530880 is about 57995.9557210673. The cubic root of 3363530880 is about 1498.2989427765.

The spelling of 3363530880 in words is "three billion, three hundred sixty-three million, five hundred thirty thousand, eight hundred eighty".