3483365652 has 144 divisors (see below), whose sum is σ = 9666908160. Its totient is φ = 1051190784.

The previous prime is 3483365591. The next prime is 3483365687. The reversal of 3483365652 is 2565633843.

3483365652 is a `hidden beast` number, since 3 + 4 + 83 + 3 + 6 + 565 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3483365598 and 3483365607.

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 47 ways as a sum of consecutive naturals, for example, 6121624 + ... + 6122192.

Almost surely, 2^3483365652 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 3483365652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4833454080).

3483365652 is an abundant number, since it is smaller than the sum of its proper divisors (6183542508).

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

3483365652 is a wasteful number, since it uses less digits than its factorization.

3483365652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 817 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 3483365652 is about 59020.0444933753. The cubic root of 3483365652 is about 1515.8853472977.

The spelling of 3483365652 in words is "three billion, four hundred eighty-three million, three hundred sixty-five thousand, six hundred fifty-two".