3408559764480 has 1408 divisors, whose sum is σ = 13385532787200. Its totient is φ = 817496064000.

The previous prime is 3408559764457. The next prime is 3408559764553. The reversal of 3408559764480 is 844679558043.

3408559764480 is a `hidden beast` number, since 3 + 4 + 0 + 8 + 5 + 5 + 97 + 64 + 480 = 666.

3408559764480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16154311575 + ... + 16154311785.

Almost surely, 2^{3408559764480} is an apocalyptic number.

3408559764480 is a gapful number since it is divisible by the number (30) 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 3408559764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6692766393600).

3408559764480 is an abundant number, since it is smaller than the sum of its proper divisors (9976973022720).

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

3408559764480 is a wasteful number, since it uses less digits than its factorization.

3408559764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 3408559764480 in words is "three trillion, four hundred eight billion, five hundred fifty-nine million, seven hundred sixty-four thousand, four hundred eighty".