3598658560 has 352 divisors, whose sum is σ = 10564485120. Its totient is φ = 1150156800.

The previous prime is 3598658551. The next prime is 3598658563. The reversal of 3598658560 is 658568953.

It is a happy number.

It is a super-2 number, since 2×3598658560² = 25900686862922547200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3598658563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45552601 + ... + 45552679.

Almost surely, 2^3598658560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3598658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282242560).

3598658560 is an abundant number, since it is smaller than the sum of its proper divisors (6965826560).

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

3598658560 is a wasteful number, since it uses less digits than its factorization.

3598658560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 55.

The square root of 3598658560 is about 59988.8202917844. The cubic root of 3598658560 is about 1532.4284785220.

The spelling of 3598658560 in words is "three billion, five hundred ninety-eight million, six hundred fifty-eight thousand, five hundred sixty".