3405596576256 has 800 divisors, whose sum is σ = 12552190358400. Its totient is φ = 915725647872.

The previous prime is 3405596576243. The next prime is 3405596576267. The reversal of 3405596576256 is 6526756955043.

It is a happy number.

3405596576256 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 5 + 9 + 6 + 576 + 2 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3405596576193 and 3405596576202.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 241816191 + ... + 241830273.

It is an arithmetic number, because the mean of its divisors is an integer number (15690237948).

Almost surely, 2^{3405596576256} is an apocalyptic number.

3405596576256 is a gapful number since it is divisible by the number (36) 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 3405596576256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276095179200).

3405596576256 is an abundant number, since it is smaller than the sum of its proper divisors (9146593782144).

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

3405596576256 is an equidigital number, since it uses as much as digits as its factorization.

3405596576256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14151 (or 14112 counting only the distinct ones).

The product of its (nonzero) digits is 204120000, while the sum is 63.

The spelling of 3405596576256 in words is "three trillion, four hundred five billion, five hundred ninety-six million, five hundred seventy-six thousand, two hundred fifty-six".