3408079187840 has 256 divisors, whose sum is σ = 8422434820800. Its totient is φ = 1317734645760.

The previous prime is 3408079187813. The next prime is 3408079187861. The reversal of 3408079187840 is 487819708043.

It is a self number, because there is not a number n which added to its sum of digits gives 3408079187840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3637223852 + ... + 3637224788.

Almost surely, 2^{3408079187840} 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 3408079187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211217410400).

3408079187840 is an abundant number, since it is smaller than the sum of its proper divisors (5014355632960).

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

3408079187840 is a wasteful number, since it uses less digits than its factorization.

3408079187840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 59.

The spelling of 3408079187840 in words is "three trillion, four hundred eight billion, seventy-nine million, one hundred eighty-seven thousand, eight hundred forty".