3482810478720 has 768 divisors, whose sum is σ = 12677459558400. Its totient is φ = 879886540800.

The previous prime is 3482810478649. The next prime is 3482810478733. The reversal of 3482810478720 is 278740182843.

3482810478720 is a `hidden beast` number, since 3 + 482 + 81 + 0 + 4 + 7 + 87 + 2 + 0 = 666.

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, 3276396909 + ... + 3276397971.

It is an arithmetic number, because the mean of its divisors is an integer number (16507108800).

Almost surely, 2^{3482810478720} is an apocalyptic number.

3482810478720 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 3482810478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6338729779200).

3482810478720 is an abundant number, since it is smaller than the sum of its proper divisors (9194649079680).

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

3482810478720 is a wasteful number, since it uses less digits than its factorization.

3482810478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 3482810478720 in words is "three trillion, four hundred eighty-two billion, eight hundred ten million, four hundred seventy-eight thousand, seven hundred twenty".