3585103441920 has 4160 divisors, whose sum is σ = 18414303215616. Its totient is φ = 642105999360.

The previous prime is 3585103441897. The next prime is 3585103441973. The reversal of 3585103441920 is 291443015853.

3585103441920 is a `hidden beast` number, since 3 + 5 + 8 + 510 + 3 + 4 + 41 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

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 319 ways as a sum of consecutive naturals, for example, 28229160897 + ... + 28229161023.

Almost surely, 2^{3585103441920} is an apocalyptic number.

3585103441920 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 3585103441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9207151607808).

3585103441920 is an abundant number, since it is smaller than the sum of its proper divisors (14829199773696).

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

3585103441920 is a wasteful number, since it uses less digits than its factorization.

3585103441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 3585103441920 in words is "three trillion, five hundred eighty-five billion, one hundred three million, four hundred forty-one thousand, nine hundred twenty".