3340316446464 has 144 divisors (see below), whose sum is σ = 9043696559520. Its totient is φ = 1094364364800.

The previous prime is 3340316446447. The next prime is 3340316446501. The reversal of 3340316446464 is 4646446130433.

It is a super-2 number, since 2×3340316446464² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10469652 + ... + 10783980.

It is an arithmetic number, because the mean of its divisors is an integer number (62803448330).

Almost surely, 2^{3340316446464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340316446464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521848279760).

3340316446464 is an abundant number, since it is smaller than the sum of its proper divisors (5703380113056).

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

3340316446464 is a wasteful number, since it uses less digits than its factorization.

3340316446464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314586 (or 314572 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 48.

The spelling of 3340316446464 in words is "three trillion, three hundred forty billion, three hundred sixteen million, four hundred forty-six thousand, four hundred sixty-four".