3500804810880 has 1536 divisors, whose sum is σ = 14143290819840. Its totient is φ = 821695021056.

The previous prime is 3500804810851. The next prime is 3500804810911. The reversal of 3500804810880 is 880184080053.

3500804810880 is a `hidden beast` number, since 350 + 0 + 80 + 48 + 108 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3964670919 + ... + 3964671801.

Almost surely, 2^{3500804810880} is an apocalyptic number.

3500804810880 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 3500804810880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7071645409920).

3500804810880 is an abundant number, since it is smaller than the sum of its proper divisors (10642486008960).

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

3500804810880 is a wasteful number, since it uses less digits than its factorization.

3500804810880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 3500804810880 in words is "three trillion, five hundred billion, eight hundred four million, eight hundred ten thousand, eight hundred eighty".