3483782118544 has 180 divisors, whose sum is σ = 8549845922160. Its totient is φ = 1370490750720.

The previous prime is 3483782118527. The next prime is 3483782118631. The reversal of 3483782118544 is 4458112873843.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23643339 + ... + 23790229.

It is an arithmetic number, because the mean of its divisors is an integer number (47499144012).

Almost surely, 2^{3483782118544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3483782118544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274922961080).

3483782118544 is an abundant number, since it is smaller than the sum of its proper divisors (5066063803616).

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

3483782118544 is a wasteful number, since it uses less digits than its factorization.

3483782118544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147118 (or 147092 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 58.

The spelling of 3483782118544 in words is "three trillion, four hundred eighty-three billion, seven hundred eighty-two million, one hundred eighteen thousand, five hundred forty-four".