3483229852032 has 128 divisors (see below), whose sum is σ = 10938714681600. Its totient is φ = 960890972160.

The previous prime is 3483229852027. The next prime is 3483229852057. The reversal of 3483229852032 is 2302589223843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3483229852032² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22264194 + ... + 22420097.

It is an arithmetic number, because the mean of its divisors is an integer number (85458708450).

Almost surely, 2^{3483229852032} is an apocalyptic number.

3483229852032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3483229852032 is an abundant number, since it is smaller than the sum of its proper divisors (7455484829568).

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

3483229852032 is a wasteful number, since it uses less digits than its factorization.

3483229852032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44684344 (or 44684332 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 3483229852032 in words is "three trillion, four hundred eighty-three billion, two hundred twenty-nine million, eight hundred fifty-two thousand, thirty-two".