3482832105720 has 384 divisors, whose sum is σ = 12788618618880. Its totient is φ = 814716672000.

The previous prime is 3482832105691. The next prime is 3482832105737. The reversal of 3482832105720 is 275012382843.

3482832105720 is a `hidden beast` number, since 3 + 48 + 2 + 8 + 32 + 1 + 0 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13082740 + ... + 13346300.

It is an arithmetic number, because the mean of its divisors is an integer number (33303694320).

Almost surely, 2^{3482832105720} is an apocalyptic number.

3482832105720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3482832105720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6394309309440).

3482832105720 is an abundant number, since it is smaller than the sum of its proper divisors (9305786513160).

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

3482832105720 is a wasteful number, since it uses less digits than its factorization.

3482832105720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263707 (or 263700 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 3482832105720 in words is "three trillion, four hundred eighty-two billion, eight hundred thirty-two million, one hundred five thousand, seven hundred twenty".