3483118080000 has 1560 divisors, whose sum is σ = 14041278571320. Its totient is φ = 825753600000.

The previous prime is 3483118079977. The next prime is 3483118080053. The reversal of 3483118080000 is 808113843.

It can be written as a sum of positive squares in 20 ways, for example, as 3237926731776 + 245191348224 = 1799424^2 + 495168^2 .

It is a tau number, because it is divible by the number of its divisors (1560).

It is a super-2 number, since 2×3483118080000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8686079800 + ... + 8686080200.

It is an arithmetic number, because the mean of its divisors is an integer number (9000819597).

Almost surely, 2^{3483118080000} is an apocalyptic number.

3483118080000 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 3483118080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020639285660).

3483118080000 is an abundant number, since it is smaller than the sum of its proper divisors (10558160491320).

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

3483118080000 is a wasteful number, since it uses less digits than its factorization.

3483118080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 3483118080000 in words is "three trillion, four hundred eighty-three billion, one hundred eighteen million, eighty thousand".