3368495479440 has 1280 divisors, whose sum is σ = 13934708121600. Its totient is φ = 653381074944.

The previous prime is 3368495479417. The next prime is 3368495479561. The reversal of 3368495479440 is 449745948633.

It is a super-2 number, since 2×3368495479440² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2133308571 + ... + 2133310149.

It is an arithmetic number, because the mean of its divisors is an integer number (10886490720).

Almost surely, 2^{3368495479440} is an apocalyptic number.

3368495479440 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 3368495479440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967354060800).

3368495479440 is an abundant number, since it is smaller than the sum of its proper divisors (10566212642160).

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

3368495479440 is a wasteful number, since it uses less digits than its factorization.

3368495479440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 66.

The spelling of 3368495479440 in words is "three trillion, three hundred sixty-eight billion, four hundred ninety-five million, four hundred seventy-nine thousand, four hundred forty".