3408812359680 has 480 divisors, whose sum is σ = 13425154735104. Its totient is φ = 719217229824.

The previous prime is 3408812359679. The next prime is 3408812359681. The reversal of 3408812359680 is 869532188043.

It is an interprime number because it is at equal distance from previous prime (3408812359679) and next prime (3408812359681).

It is a tau number, because it is divible by the number of its divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 3408812359680.

It is not an unprimeable number, because it can be changed into a prime (3408812359681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22287949 + ... + 22440371.

Almost surely, 2^{3408812359680} is an apocalyptic number.

3408812359680 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 3408812359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6712577367552).

3408812359680 is an abundant number, since it is smaller than the sum of its proper divisors (10016342375424).

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

3408812359680 is a wasteful number, since it uses less digits than its factorization.

3408812359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152479 (or 152453 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 3408812359680 in words is "three trillion, four hundred eight billion, eight hundred twelve million, three hundred fifty-nine thousand, six hundred eighty".