3484519848000 has 336 divisors, whose sum is σ = 12579091702320. Its totient is φ = 920678400000.

The previous prime is 3484519847999. The next prime is 3484519848001. The reversal of 3484519848000 is 8489154843.

It is a happy number.

3484519848000 is a `hidden beast` number, since 3 + 4 + 84 + 519 + 8 + 48 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3484519847999) and next prime (3484519848001).

It can be written as a sum of positive squares in 8 ways, for example, as 1237326971904 + 2247192876096 = 1112352^2 + 1499064^2 .

It is a super-2 number, since 2×3484519848000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3484519848001) 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 47 ways as a sum of consecutive naturals, for example, 7626000 + ... + 8070000.

Almost surely, 2^{3484519848000} is an apocalyptic number.

3484519848000 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 3484519848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289545851160).

3484519848000 is an abundant number, since it is smaller than the sum of its proper divisors (9094571854320).

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

3484519848000 is a wasteful number, since it uses less digits than its factorization.

3484519848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444143 (or 444120 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 3484519848000 in words is "three trillion, four hundred eighty-four billion, five hundred nineteen million, eight hundred forty-eight thousand".