3598810042400 has 144 divisors (see below), whose sum is σ = 9004487738400. Its totient is φ = 1403766927360.

The previous prime is 3598810042393. The next prime is 3598810042403. The reversal of 3598810042400 is 42400188953.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3598810042403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21209096 + ... + 21378104.

It is an arithmetic number, because the mean of its divisors is an integer number (62531164850).

Almost surely, 2^{3598810042400} 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 3598810042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502243869200).

3598810042400 is an abundant number, since it is smaller than the sum of its proper divisors (5405677696000).

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

3598810042400 is a wasteful number, since it uses less digits than its factorization.

3598810042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169691 (or 169678 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 3598810042400 in words is "three trillion, five hundred ninety-eight billion, eight hundred ten million, forty-two thousand, four hundred".