3461192656 has 80 divisors (see below), whose sum is σ = 7352529408. Its totient is φ = 1571328000.

The previous prime is 3461192573. The next prime is 3461192671. The reversal of 3461192656 is 6562911643.

It is a congruent number.

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, 5067291 + ... + 5067973.

Almost surely, 2^3461192656 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 3461192656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676264704).

3461192656 is an abundant number, since it is smaller than the sum of its proper divisors (3891336752).

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

3461192656 is a wasteful number, since it uses less digits than its factorization.

3461192656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1334 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The square root of 3461192656 is about 58831.9016860750. The cubic root of 3461192656 is about 1512.6620958346.

The spelling of 3461192656 in words is "three billion, four hundred sixty-one million, one hundred ninety-two thousand, six hundred fifty-six".