3314035256664 has 512 divisors, whose sum is σ = 10169794944000. Its totient is φ = 888029184000.

The previous prime is 3314035256659. The next prime is 3314035256677. The reversal of 3314035256664 is 4666525304133.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 775573632 + ... + 775577904.

It is an arithmetic number, because the mean of its divisors is an integer number (19862880750).

Almost surely, 2^{3314035256664} is an apocalyptic number.

3314035256664 is a gapful number since it is divisible by the number (34) 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 3314035256664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5084897472000).

3314035256664 is an abundant number, since it is smaller than the sum of its proper divisors (6855759687336).

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

3314035256664 is a wasteful number, since it uses less digits than its factorization.

3314035256664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 3314035256664 in words is "three trillion, three hundred fourteen billion, thirty-five million, two hundred fifty-six thousand, six hundred sixty-four".