3505143219744 has 192 divisors, whose sum is σ = 9342247864320. Its totient is φ = 1150607877120.

The previous prime is 3505143219727. The next prime is 3505143219749. The reversal of 3505143219744 is 4479123415053.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3505143219693 and 3505143219702.

It is not an unprimeable number, because it can be changed into a prime (3505143219749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1699050457 + ... + 1699052519.

It is an arithmetic number, because the mean of its divisors is an integer number (48657540960).

Almost surely, 2^{3505143219744} 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 3505143219744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671123932160).

3505143219744 is an abundant number, since it is smaller than the sum of its proper divisors (5837104644576).

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

3505143219744 is a wasteful number, since it uses less digits than its factorization.

3505143219744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3183 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 3505143219744 in words is "three trillion, five hundred five billion, one hundred forty-three million, two hundred nineteen thousand, seven hundred forty-four".