3534664420768 has 96 divisors (see below), whose sum is σ = 7806890488320. Its totient is φ = 1564273658880.

The previous prime is 3534664420759. The next prime is 3534664420787. The reversal of 3534664420768 is 8670244664353.

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 15 ways as a sum of consecutive naturals, for example, 148371 + ... + 2662957.

It is an arithmetic number, because the mean of its divisors is an integer number (81321775920).

Almost surely, 2^{3534664420768} 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 3534664420768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903445244160).

3534664420768 is an abundant number, since it is smaller than the sum of its proper divisors (4272226067552).

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

3534664420768 is a wasteful number, since it uses less digits than its factorization.

3534664420768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514750 (or 2514742 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 58.

The spelling of 3534664420768 in words is "three trillion, five hundred thirty-four billion, six hundred sixty-four million, four hundred twenty thousand, seven hundred sixty-eight".