3589848960 has 128 divisors (see below), whose sum is σ = 11516493600. Its totient is φ = 951115776.

The previous prime is 3589848953. The next prime is 3589848967. The reversal of 3589848960 is 698489853.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3589848953) and next prime (3589848967).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3589848960² = 25774031111226163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3589848894 and 3589848903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3589848967) 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, 295486 + ... + 307394.

Almost surely, 2^3589848960 is an apocalyptic number.

3589848960 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 3589848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758246800).

3589848960 is an abundant number, since it is smaller than the sum of its proper divisors (7926644640).

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

3589848960 is a wasteful number, since it uses less digits than its factorization.

3589848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12088 (or 12076 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The square root of 3589848960 is about 59915.3482840582. The cubic root of 3589848960 is about 1531.1769831961.

The spelling of 3589848960 in words is "three billion, five hundred eighty-nine million, eight hundred forty-eight thousand, nine hundred sixty".