3481286218380 has 144 divisors (see below), whose sum is σ = 10891360980864. Its totient is φ = 899594841600.

The previous prime is 3481286218313. The next prime is 3481286218393. The reversal of 3481286218380 is 838126821843.

3481286218380 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 2 + 8 + 621 + 8 + 3 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1182667 + ... + 2891586.

It is an arithmetic number, because the mean of its divisors is an integer number (75634451256).

Almost surely, 2^{3481286218380} is an apocalyptic number.

3481286218380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3481286218380 is an abundant number, since it is smaller than the sum of its proper divisors (7410074762484).

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

3481286218380 is a wasteful number, since it uses less digits than its factorization.

3481286218380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074416 (or 4074411 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 3481286218380 in words is "three trillion, four hundred eighty-one billion, two hundred eighty-six million, two hundred eighteen thousand, three hundred eighty".