3486523415616 has 252 divisors, whose sum is σ = 10644040962828. Its totient is φ = 1090665658368.

The previous prime is 3486523415537. The next prime is 3486523415621. The reversal of 3486523415616 is 6165143256843.

3486523415616 is a `hidden beast` number, since 3 + 4 + 8 + 6 + 5 + 2 + 3 + 4 + 15 + 616 = 666.

3486523415616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1679864841216 + 1806658574400 = 1296096^2 + 1344120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16041366 + ... + 16257258.

It is an arithmetic number, because the mean of its divisors is an integer number (42238257789).

Almost surely, 2^{3486523415616} is an apocalyptic number.

3486523415616 is a gapful number since it is divisible by the number (36) 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 3486523415616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322020481414).

3486523415616 is an abundant number, since it is smaller than the sum of its proper divisors (7157517547212).

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

3486523415616 is a wasteful number, since it uses less digits than its factorization.

3486523415616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216010 (or 215974 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 3486523415616 in words is "three trillion, four hundred eighty-six billion, five hundred twenty-three million, four hundred fifteen thousand, six hundred sixteen".