3405346560 has 648 divisors, whose sum is σ = 14843119200. Its totient is φ = 705576960.

The previous prime is 3405346523. The next prime is 3405346667. The reversal of 3405346560 is 656435043.

3405346560 is a `hidden beast` number, since 3 + 4 + 0 + 53 + 46 + 560 = 666.

3405346560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9757266 + ... + 9757614.

Almost surely, 2^3405346560 is an apocalyptic number.

3405346560 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 3405346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7421559600).

3405346560 is an abundant number, since it is smaller than the sum of its proper divisors (11437772640).

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

3405346560 is a wasteful number, since it uses less digits than its factorization.

3405346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3405346560 is about 58355.3473128213. The cubic root of 3405346560 is about 1504.4823788446.

The spelling of 3405346560 in words is "three billion, four hundred five million, three hundred forty-six thousand, five hundred sixty".