3437664841728 has 1456 divisors, whose sum is σ = 12032513472000. Its totient is φ = 972618596352.

The previous prime is 3437664841603. The next prime is 3437664841763. The reversal of 3437664841728 is 8271484667343.

3437664841728 is a `hidden beast` number, since 34 + 37 + 66 + 484 + 17 + 28 = 666.

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 111 ways as a sum of consecutive naturals, for example, 43514744793 + ... + 43514744871.

Almost surely, 2^{3437664841728} is an apocalyptic number.

3437664841728 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 3437664841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016256736000).

3437664841728 is an abundant number, since it is smaller than the sum of its proper divisors (8594848630272).

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

3437664841728 is an equidigital number, since it uses as much as digits as its factorization.

3437664841728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 175 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 3437664841728 in words is "three trillion, four hundred thirty-seven billion, six hundred sixty-four million, eight hundred forty-one thousand, seven hundred twenty-eight".