3461890317856 has 96 divisors (see below), whose sum is σ = 6998546908080. Its totient is φ = 1684689715200.

The previous prime is 3461890317833. The next prime is 3461890317863. The reversal of 3461890317856 is 6587130981643.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13872128400 + 3448018189456 = 117780^2 + 1856884^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3461890317794 and 3461890317803.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1293196390 + ... + 1293199066.

Almost surely, 2^{3461890317856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3461890317856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499273454040).

3461890317856 is an abundant number, since it is smaller than the sum of its proper divisors (3536656590224).

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

3461890317856 is a wasteful number, since it uses less digits than its factorization.

3461890317856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 61.

The spelling of 3461890317856 in words is "three trillion, four hundred sixty-one billion, eight hundred ninety million, three hundred seventeen thousand, eight hundred fifty-six".