3483705674232 has 144 divisors (see below), whose sum is σ = 10977069074400. Its totient is φ = 995197674240.

The previous prime is 3483705674221. The next prime is 3483705674249. The reversal of 3483705674232 is 2324765073843.

3483705674232 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 7 + 0 + 567 + 42 + 32 = 666.

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 35 ways as a sum of consecutive naturals, for example, 25081857 + ... + 25220367.

It is an arithmetic number, because the mean of its divisors is an integer number (76229646350).

Almost surely, 2^{3483705674232} 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 3483705674232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488534537200).

3483705674232 is an abundant number, since it is smaller than the sum of its proper divisors (7493363400168).

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

3483705674232 is a wasteful number, since it uses less digits than its factorization.

3483705674232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145666 (or 145652 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 3483705674232 in words is "three trillion, four hundred eighty-three billion, seven hundred five million, six hundred seventy-four thousand, two hundred thirty-two".