3486980016960 has 448 divisors, whose sum is σ = 12522791393280. Its totient is φ = 814305157120.

The previous prime is 3486980016937. The next prime is 3486980016967. The reversal of 3486980016960 is 696100896843.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3486980016894 and 3486980016903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3486980016967) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 135651469 + ... + 135677171.

It is an arithmetic number, because the mean of its divisors is an integer number (27952659360).

Almost surely, 2^{3486980016960} is an apocalyptic number.

3486980016960 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 3486980016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6261395696640).

3486980016960 is an abundant number, since it is smaller than the sum of its proper divisors (9035811376320).

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

3486980016960 is a wasteful number, since it uses less digits than its factorization.

3486980016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26206 (or 26196 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 3486980016960 in words is "three trillion, four hundred eighty-six billion, nine hundred eighty million, sixteen thousand, nine hundred sixty".