3505280305408 has 144 divisors (see below), whose sum is σ = 8074554808320. Its totient is φ = 1487600640000.

The previous prime is 3505280305403. The next prime is 3505280305411. The reversal of 3505280305408 is 8045030825053.

It is not an unprimeable number, because it can be changed into a prime (3505280305403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412333158 + ... + 412341658.

It is an arithmetic number, because the mean of its divisors is an integer number (56073297280).

Almost surely, 2^{3505280305408} 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 3505280305408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4037277404160).

3505280305408 is an abundant number, since it is smaller than the sum of its proper divisors (4569274502912).

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

3505280305408 is a wasteful number, since it uses less digits than its factorization.

3505280305408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10744 (or 10730 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 3505280305408 in words is "three trillion, five hundred five billion, two hundred eighty million, three hundred five thousand, four hundred eight".