3405386880 has 512 divisors, whose sum is σ = 14100480000. Its totient is φ = 760541184.

The previous prime is 3405386861. The next prime is 3405386893. The reversal of 3405386880 is 886835043.

3405386880 is a `hidden beast` number, since 34 + 0 + 538 + 6 + 8 + 80 = 666.

It is a super-3 number, since 3×3405386880³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5684821 + ... + 5685419.

It is an arithmetic number, because the mean of its divisors is an integer number (27540000).

Almost surely, 2^3405386880 is an apocalyptic number.

3405386880 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 3405386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240000).

3405386880 is an abundant number, since it is smaller than the sum of its proper divisors (10695093120).

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

3405386880 is a wasteful number, since it uses less digits than its factorization.

3405386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3405386880 is about 58355.6927814245. The cubic root of 3405386880 is about 1504.4883166142.

The spelling of 3405386880 in words is "three billion, four hundred five million, three hundred eighty-six thousand, eight hundred eighty".