3386668760640 has 784 divisors, whose sum is σ = 13350189013056. Its totient is φ = 811067904000.

The previous prime is 3386668760621. The next prime is 3386668760641. The reversal of 3386668760640 is 460678666833.

It is a happy number.

It is a super-2 number, since 2×3386668760640² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3386668760641) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 212976690 + ... + 212992590.

Almost surely, 2^{3386668760640} is an apocalyptic number.

3386668760640 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 3386668760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6675094506528).

3386668760640 is an abundant number, since it is smaller than the sum of its proper divisors (9963520252416).

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

3386668760640 is a wasteful number, since it uses less digits than its factorization.

3386668760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16030 (or 16005 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 3386668760640 in words is "three trillion, three hundred eighty-six billion, six hundred sixty-eight million, seven hundred sixty thousand, six hundred forty".