3483604875872 has 48 divisors (see below), whose sum is σ = 7493505811344. Its totient is φ = 1580986368000.

The previous prime is 3483604875871. The next prime is 3483604875911. The reversal of 3483604875872 is 2785784063843.

3483604875872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3483604875799 and 3483604875808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3483604875871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7494029 + ... + 7945292.

It is an arithmetic number, because the mean of its divisors is an integer number (156114704403).

Almost surely, 2^{3483604875872} is an apocalyptic number.

3483604875872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3483604875872 is an abundant number, since it is smaller than the sum of its proper divisors (4009900935472).

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

3483604875872 is a wasteful number, since it uses less digits than its factorization.

3483604875872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15439983 (or 15439975 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 65.

The spelling of 3483604875872 in words is "three trillion, four hundred eighty-three billion, six hundred four million, eight hundred seventy-five thousand, eight hundred seventy-two".