3585121440 has 96 divisors (see below), whose sum is σ = 11330383680. Its totient is φ = 952879104.

The previous prime is 3585121439. The next prime is 3585121447. The reversal of 3585121440 is 441215853.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3585121447) 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, 135196 + ... + 159524.

It is an arithmetic number, because the mean of its divisors is an integer number (118024830).

Almost surely, 2^3585121440 is an apocalyptic number.

3585121440 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 3585121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5665191840).

3585121440 is an abundant number, since it is smaller than the sum of its proper divisors (7745262240).

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

3585121440 is a wasteful number, since it uses less digits than its factorization.

3585121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24654 (or 24646 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 3585121440 is about 59875.8836260476. The cubic root of 3585121440 is about 1530.5045454616.

It can be divided in two parts, 35851 and 21440, that added together give a triangular number (57291 = T₃₃₈).

The spelling of 3585121440 in words is "three billion, five hundred eighty-five million, one hundred twenty-one thousand, four hundred forty".