3369008298240 has 2268 divisors, whose sum is σ = 14302368786132. Its totient is φ = 755334512640.

The previous prime is 3369008298197. The next prime is 3369008298263. The reversal of 3369008298240 is 428928009633.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2869530624 + 3366138767616 = 53568^2 + 1834704^2 .

It is a super-2 number, since 2×3369008298240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 108677687025 + ... + 108677687055.

Almost surely, 2^{3369008298240} is an apocalyptic number.

3369008298240 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 3369008298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7151184393066).

3369008298240 is an abundant number, since it is smaller than the sum of its proper divisors (10933360487892).

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

3369008298240 is an equidigital number, since it uses as much as digits as its factorization.

3369008298240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 3369008298240 in words is "three trillion, three hundred sixty-nine billion, eight million, two hundred ninety-eight thousand, two hundred forty".