3585164880 has 320 divisors, whose sum is σ = 12712329216. Its totient is φ = 827904000.

The previous prime is 3585164879. The next prime is 3585164881. The reversal of 3585164880 is 884615853.

It is an interprime number because it is at equal distance from previous prime (3585164879) and next prime (3585164881).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3585164881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5810332 + ... + 5810948.

Almost surely, 2^3585164880 is an apocalyptic number.

3585164880 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 3585164880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6356164608).

3585164880 is an abundant number, since it is smaller than the sum of its proper divisors (9127164336).

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

3585164880 is a wasteful number, since it uses less digits than its factorization.

3585164880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The square root of 3585164880 is about 59876.2463753365. The cubic root of 3585164880 is about 1530.5107270141.

The spelling of 3585164880 in words is "three billion, five hundred eighty-five million, one hundred sixty-four thousand, eight hundred eighty".