3401066765544 has 512 divisors, whose sum is σ = 10685841408000. Its totient is φ = 880591315968.

The previous prime is 3401066765531. The next prime is 3401066765567. The reversal of 3401066765544 is 4455676601043.

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 127 ways as a sum of consecutive naturals, for example, 1267634427 + ... + 1267637109.

It is an arithmetic number, because the mean of its divisors is an integer number (20870784000).

Almost surely, 2^{3401066765544} 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 3401066765544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5342920704000).

3401066765544 is an abundant number, since it is smaller than the sum of its proper divisors (7284774642456).

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

3401066765544 is a wasteful number, since it uses less digits than its factorization.

3401066765544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 3401066765544 in words is "three trillion, four hundred one billion, sixty-six million, seven hundred sixty-five thousand, five hundred forty-four".