3585012480 has 864 divisors, whose sum is σ = 15518865600. Its totient is φ = 780337152.

The previous prime is 3585012401. The next prime is 3585012503. The reversal of 3585012480 is 842105853.

It is a happy number.

3585012480 is a `hidden beast` number, since 3 + 58 + 501 + 24 + 80 = 666.

3585012480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49109724 + ... + 49109796.

It is an arithmetic number, because the mean of its divisors is an integer number (17961650).

Almost surely, 2^3585012480 is an apocalyptic number.

3585012480 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 3585012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7759432800).

3585012480 is an abundant number, since it is smaller than the sum of its proper divisors (11933853120).

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

3585012480 is a wasteful number, since it uses less digits than its factorization.

3585012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 3585012480 is about 59874.9737369462. The cubic root of 3585012480 is about 1530.4890401324.

The spelling of 3585012480 in words is "three billion, five hundred eighty-five million, twelve thousand, four hundred eighty".