3481043202000 has 3200 divisors, whose sum is σ = 16253293056000. Its totient is φ = 713276928000.

The previous prime is 3481043201953. The next prime is 3481043202023. The reversal of 3481043202000 is 2023401843.

3481043202000 is a `hidden beast` number, since 34 + 8 + 104 + 320 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 44063837961 + ... + 44063838039.

It is an arithmetic number, because the mean of its divisors is an integer number (5079154080).

Almost surely, 2^{3481043202000} is an apocalyptic number.

3481043202000 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 3481043202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8126646528000).

3481043202000 is an abundant number, since it is smaller than the sum of its proper divisors (12772249854000).

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

3481043202000 is a wasteful number, since it uses less digits than its factorization.

3481043202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3481043202000 its reverse (2023401843), we get a palindrome (3483066603843).

The spelling of 3481043202000 in words is "three trillion, four hundred eighty-one billion, forty-three million, two hundred two thousand".