3340093574664 has 896 divisors, whose sum is σ = 12265092679680. Its totient is φ = 826483046400.

The previous prime is 3340093574479. The next prime is 3340093574683. The reversal of 3340093574664 is 4664753900433.

It is a happy number.

3340093574664 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 0 + 9 + 3 + 574 + 6 + 64 = 666.

It is a super-2 number, since 2×3340093574664² (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 self number, because there is not a number n which added to its sum of digits gives 3340093574664.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3418723744 + ... + 3418724720.

Almost surely, 2^{3340093574664} 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 3340093574664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132546339840).

3340093574664 is an abundant number, since it is smaller than the sum of its proper divisors (8924999105016).

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

3340093574664 is a wasteful number, since it uses less digits than its factorization.

3340093574664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 3340093574664 in words is "three trillion, three hundred forty billion, ninety-three million, five hundred seventy-four thousand, six hundred sixty-four".