3483138275900 has 72 divisors (see below), whose sum is σ = 7611837082080. Its totient is φ = 1383415200000.

The previous prime is 3483138275891. The next prime is 3483138275921. The reversal of 3483138275900 is 95728313843.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34815950 + ... + 34915850.

Almost surely, 2^{3483138275900} 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 3483138275900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805918541040).

3483138275900 is an abundant number, since it is smaller than the sum of its proper divisors (4128698806180).

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

3483138275900 is a wasteful number, since it uses less digits than its factorization.

3483138275900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102375 (or 102368 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 3483138275900 in words is "three trillion, four hundred eighty-three billion, one hundred thirty-eight million, two hundred seventy-five thousand, nine hundred".