3408670893408 has 192 divisors, whose sum is σ = 10310026809600. Its totient is φ = 975224309760.

The previous prime is 3408670893391. The next prime is 3408670893409. The reversal of 3408670893408 is 8043980768043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3408670893409) 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, 5588838 + ... + 6168666.

It is an arithmetic number, because the mean of its divisors is an integer number (53698056300).

Almost surely, 2^{3408670893408} is an apocalyptic number.

3408670893408 is a gapful number since it is divisible by the number (38) 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 3408670893408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155013404800).

3408670893408 is an abundant number, since it is smaller than the sum of its proper divisors (6901355916192).

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

3408670893408 is a wasteful number, since it uses less digits than its factorization.

3408670893408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580165 (or 580157 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 3408670893408 in words is "three trillion, four hundred eight billion, six hundred seventy million, eight hundred ninety-three thousand, four hundred eight".