3461239558656 has 640 divisors, whose sum is σ = 11435500581120. Its totient is φ = 1037689159680.

The previous prime is 3461239558639. The next prime is 3461239558657. The reversal of 3461239558656 is 6568559321643.

It is a happy number.

3461239558656 is a `hidden beast` number, since 3 + 4 + 6 + 1 + 23 + 9 + 558 + 6 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3461239558593 and 3461239558602.

It is not an unprimeable number, because it can be changed into a prime (3461239558657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1194765400 + ... + 1194768296.

It is an arithmetic number, because the mean of its divisors is an integer number (17867969658).

Almost surely, 2^{3461239558656} is an apocalyptic number.

3461239558656 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 3461239558656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717750290560).

3461239558656 is an abundant number, since it is smaller than the sum of its proper divisors (7974261022464).

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

3461239558656 is an frugal number, since it uses more digits than its factorization.

3461239558656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3010 counting only the distinct ones).

The product of its digits is 139968000, while the sum is 63.

The spelling of 3461239558656 in words is "three trillion, four hundred sixty-one billion, two hundred thirty-nine million, five hundred fifty-eight thousand, six hundred fifty-six".