3405304462560 has 1152 divisors, whose sum is σ = 14696095680000. Its totient is φ = 651535073280.

The previous prime is 3405304462543. The next prime is 3405304462613. The reversal of 3405304462560 is 652644035043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1678315626 + ... + 1678317654.

It is an arithmetic number, because the mean of its divisors is an integer number (12757027500).

Almost surely, 2^{3405304462560} is an apocalyptic number.

3405304462560 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 3405304462560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7348047840000).

3405304462560 is an abundant number, since it is smaller than the sum of its proper divisors (11290791217440).

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

3405304462560 is a wasteful number, since it uses less digits than its factorization.

3405304462560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 3405304462560 in words is "three trillion, four hundred five billion, three hundred four million, four hundred sixty-two thousand, five hundred sixty".