3387726463680 has 504 divisors, whose sum is σ = 13052798207280. Its totient is φ = 805143306240.

The previous prime is 3387726463679. The next prime is 3387726463691. The reversal of 3387726463680 is 863646277833.

3387726463680 is a `hidden beast` number, since 3 + 3 + 8 + 7 + 7 + 264 + 6 + 368 + 0 = 666.

It is a super-2 number, since 2×3387726463680² (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 71 ways as a sum of consecutive naturals, for example, 13994875 + ... + 14234885.

Almost surely, 2^{3387726463680} is an apocalyptic number.

3387726463680 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 3387726463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6526399103640).

3387726463680 is an abundant number, since it is smaller than the sum of its proper divisors (9665071743600).

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

3387726463680 is a wasteful number, since it uses less digits than its factorization.

3387726463680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240089 (or 240063 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 3387726463680 in words is "three trillion, three hundred eighty-seven billion, seven hundred twenty-six million, four hundred sixty-three thousand, six hundred eighty".