3513200240000 has 640 divisors, whose sum is σ = 9966289766400. Its totient is φ = 1221580800000.

The previous prime is 3513200239981. The next prime is 3513200240051. The reversal of 3513200240000 is 420023153.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2427919277 + ... + 2427920723.

It is an arithmetic number, because the mean of its divisors is an integer number (15572327760).

Almost surely, 2^{3513200240000} 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 3513200240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4983144883200).

3513200240000 is an abundant number, since it is smaller than the sum of its proper divisors (6453089526400).

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

3513200240000 is a wasteful number, since it uses less digits than its factorization.

3513200240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 3513200240000 its reverse (420023153), we get a palindrome (3513620263153).

The spelling of 3513200240000 in words is "three trillion, five hundred thirteen billion, two hundred million, two hundred forty thousand".