3456874489600 has 648 divisors, whose sum is σ = 10096417225440. Its totient is φ = 1147738521600.

The previous prime is 3456874489597. The next prime is 3456874489633. The reversal of 3456874489600 is 69844786543.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14836371084 + ... + 14836371316.

It is an arithmetic number, because the mean of its divisors is an integer number (15580890780).

Almost surely, 2^{3456874489600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3456874489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048208612720).

3456874489600 is an abundant number, since it is smaller than the sum of its proper divisors (6639542735840).

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

3456874489600 is an equidigital number, since it uses as much as digits as its factorization.

3456874489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 64.

The spelling of 3456874489600 in words is "three trillion, four hundred fifty-six billion, eight hundred seventy-four million, four hundred eighty-nine thousand, six hundred".