3365498880 has 468 divisors, whose sum is σ = 12688514280. Its totient is φ = 822804480.

The previous prime is 3365498837. The next prime is 3365498881. The reversal of 3365498880 is 888945633.

It is a happy number.

It is a super-2 number, since 2×3365498880² = 22653165422562508800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3365498881) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108564465 + ... + 108564495.

It is an arithmetic number, because the mean of its divisors is an integer number (27112210).

Almost surely, 2^3365498880 is an apocalyptic number.

3365498880 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 3365498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6344257140).

3365498880 is an abundant number, since it is smaller than the sum of its proper divisors (9323015400).

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

3365498880 is a wasteful number, since it uses less digits than its factorization.

3365498880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 3365498880 is about 58012.9199403030. The cubic root of 3365498880 is about 1498.5911037552.

The spelling of 3365498880 in words is "three billion, three hundred sixty-five million, four hundred ninety-eight thousand, eight hundred eighty".