3428289246096 has 675 divisors, whose sum is σ = 11564069633207. Its totient is φ = 947408267520.

The previous prime is 3428289246089. The next prime is 3428289246103. The reversal of 3428289246096 is 6906429828243.

The square root of 3428289246096 is 1851564.

It is a perfect power (a square), and thus also a powerful number.

3428289246096 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 2 + 89 + 2 + 460 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (3428289246089) and next prime (3428289246103).

It can be written as a sum of positive squares in 2 ways, for example, as 1699800567696 + 1728488678400 = 1303764^2 + 1314720^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 41304689671 + ... + 41304689753.

Almost surely, 2^{3428289246096} is an apocalyptic number.

3428289246096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3428289246096 is the 1851564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428289246096

3428289246096 is an abundant number, since it is smaller than the sum of its proper divisors (8135780387111).

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

3428289246096 is an equidigital number, since it uses as much as digits as its factorization.

3428289246096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 3428289246096 in words is "three trillion, four hundred twenty-eight billion, two hundred eighty-nine million, two hundred forty-six thousand, ninety-six".