3461182816 has 192 divisors, whose sum is σ = 8670412800. Its totient is φ = 1351365120.

The previous prime is 3461182811. The next prime is 3461182819. The reversal of 3461182816 is 6182811643.

3461182816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3461182811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18121281 + ... + 18121471.

It is an arithmetic number, because the mean of its divisors is an integer number (45158400).

Almost surely, 2^3461182816 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 3461182816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335206400).

3461182816 is an abundant number, since it is smaller than the sum of its proper divisors (5209229984).

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

3461182816 is a wasteful number, since it uses less digits than its factorization.

3461182816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 340 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 3461182816 is about 58831.8180579183. The cubic root of 3461182816 is about 1512.6606623587.

The spelling of 3461182816 in words is "three billion, four hundred sixty-one million, one hundred eighty-two thousand, eight hundred sixteen".