3408983820000 has 2880 divisors, whose sum is σ = 15102767167488. Its totient is φ = 752716800000.

The previous prime is 3408983819971. The next prime is 3408983820019. The reversal of 3408983820000 is 283898043.

3408983820000 is a `hidden beast` number, since 3 + 408 + 9 + 8 + 38 + 200 + 0 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 109967219985 + ... + 109967220015.

Almost surely, 2^{3408983820000} is an apocalyptic number.

3408983820000 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 3408983820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7551383583744).

3408983820000 is an abundant number, since it is smaller than the sum of its proper divisors (11693783347488).

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

3408983820000 is an equidigital number, since it uses as much as digits as its factorization.

3408983820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 3408983820000 in words is "three trillion, four hundred eight billion, nine hundred eighty-three million, eight hundred twenty thousand".