3346727424768 has 2160 divisors, whose sum is σ = 13772721695040. Its totient is φ = 787009830912.

The previous prime is 3346727424763. The next prime is 3346727424773. The reversal of 3346727424768 is 8674247276433.

3346727424768 is a `hidden beast` number, since 3 + 3 + 4 + 67 + 274 + 247 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (3346727424763) and next prime (3346727424773).

It is a super-2 number, since 2×3346727424768² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3346727424763) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 176143548663 + ... + 176143548681.

It is an arithmetic number, because the mean of its divisors is an integer number (6376260044).

Almost surely, 2^{3346727424768} is an apocalyptic number.

3346727424768 is a gapful number since it is divisible by the number (38) 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 3346727424768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6886360847520).

3346727424768 is an abundant number, since it is smaller than the sum of its proper divisors (10425994270272).

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

3346727424768 is an equidigital number, since it uses as much as digits as its factorization.

3346727424768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 61 counting only the distinct ones).

The product of its digits is 227598336, while the sum is 63.

The spelling of 3346727424768 in words is "three trillion, three hundred forty-six billion, seven hundred twenty-seven million, four hundred twenty-four thousand, seven hundred sixty-eight".