3461490775296 has 360 divisors, whose sum is σ = 10572655816800. Its totient is φ = 1125815169024.

The previous prime is 3461490775289. The next prime is 3461490775363. The reversal of 3461490775296 is 6925770941643.

3461490775296 is a `hidden beast` number, since 3 + 4 + 6 + 1 + 490 + 7 + 7 + 52 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1357978630 + ... + 1357981178.

It is an arithmetic number, because the mean of its divisors is an integer number (29368488380).

Almost surely, 2^{3461490775296} is an apocalyptic number.

3461490775296 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 3461490775296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286327908400).

3461490775296 is an abundant number, since it is smaller than the sum of its proper divisors (7111165041504).

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

3461490775296 is a wasteful number, since it uses less digits than its factorization.

3461490775296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 3461490775296 in words is "three trillion, four hundred sixty-one billion, four hundred ninety million, seven hundred seventy-five thousand, two hundred ninety-six".