3405389680 has 320 divisors, whose sum is σ = 10799308800. Its totient is φ = 965836800.

The previous prime is 3405389651. The next prime is 3405389693. The reversal of 3405389680 is 869835043.

It is a self number, because there is not a number n which added to its sum of digits gives 3405389680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3245796 + ... + 3246844.

It is an arithmetic number, because the mean of its divisors is an integer number (33747840).

Almost surely, 2^3405389680 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 3405389680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399654400).

3405389680 is an abundant number, since it is smaller than the sum of its proper divisors (7393919120).

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

3405389680 is a wasteful number, since it uses less digits than its factorization.

3405389680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 3405389680 is about 58355.7167722238. The cubic root of 3405389680 is about 1504.4887289576.

The spelling of 3405389680 in words is "three billion, four hundred five million, three hundred eighty-nine thousand, six hundred eighty".