3356718406272 has 1536 divisors, whose sum is σ = 13052532326400. Its totient is φ = 830269440000.

The previous prime is 3356718406267. The next prime is 3356718406331. The reversal of 3356718406272 is 2726048176533.

It is a happy number.

3356718406272 is a `hidden beast` number, since 3 + 3 + 5 + 6 + 7 + 1 + 8 + 4 + 0 + 627 + 2 = 666.

It is a super-2 number, since 2×3356718406272² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6442837372 + ... + 6442837892.

It is an arithmetic number, because the mean of its divisors is an integer number (8497742400).

Almost surely, 2^{3356718406272} is an apocalyptic number.

3356718406272 is a gapful number since it is divisible by the number (32) 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 3356718406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6526266163200).

3356718406272 is an abundant number, since it is smaller than the sum of its proper divisors (9695813920128).

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

3356718406272 is a wasteful number, since it uses less digits than its factorization.

3356718406272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 3356718406272 in words is "three trillion, three hundred fifty-six billion, seven hundred eighteen million, four hundred six thousand, two hundred seventy-two".