3369291997440 has 576 divisors, whose sum is σ = 11602607385600. Its totient is φ = 830700748800.

The previous prime is 3369291997429. The next prime is 3369291997451. The reversal of 3369291997440 is 447991929633.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3369291997429) and next prime (3369291997451).

It is a super-2 number, since 2×3369291997440² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 583020471 + ... + 583026249.

It is an arithmetic number, because the mean of its divisors is an integer number (20143415600).

Almost surely, 2^{3369291997440} is an apocalyptic number.

3369291997440 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 3369291997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801303692800).

3369291997440 is an abundant number, since it is smaller than the sum of its proper divisors (8233315388160).

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

3369291997440 is a wasteful number, since it uses less digits than its factorization.

3369291997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6014 (or 6000 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 66.

The spelling of 3369291997440 in words is "three trillion, three hundred sixty-nine billion, two hundred ninety-one million, nine hundred ninety-seven thousand, four hundred forty".