3464953856 has 204 divisors, whose sum is σ = 8785951272. Its totient is φ = 1354235904.

The previous prime is 3464953853. The next prime is 3464953859. The reversal of 3464953856 is 6583594643.

It is an interprime number because it is at equal distance from previous prime (3464953853) and next prime (3464953859).

It is a junction number, because it is equal to n+sod(n) for n = 3464953798 and 3464953807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3464953853) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41746391 + ... + 41746473.

Almost surely, 2^3464953856 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 3464953856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392975636).

3464953856 is an abundant number, since it is smaller than the sum of its proper divisors (5320997416).

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

3464953856 is an frugal number, since it uses more digits than its factorization.

3464953856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 105 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 53.

The square root of 3464953856 is about 58863.8586570741. The cubic root of 3464953856 is about 1513.2098227433.

The spelling of 3464953856 in words is "three billion, four hundred sixty-four million, nine hundred fifty-three thousand, eight hundred fifty-six".