3513240207360 has 960 divisors, whose sum is σ = 13679346965760. Its totient is φ = 850195906560.

The previous prime is 3513240207343. The next prime is 3513240207397. The reversal of 3513240207360 is 637020423153.

3513240207360 is a `hidden beast` number, since 3 + 51 + 3 + 2 + 40 + 207 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3513240207360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1753988119 + ... + 1753990121.

It is an arithmetic number, because the mean of its divisors is an integer number (14249319756).

Almost surely, 2^{3513240207360} is an apocalyptic number.

3513240207360 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 3513240207360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6839673482880).

3513240207360 is an abundant number, since it is smaller than the sum of its proper divisors (10166106758400).

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

3513240207360 is a wasteful number, since it uses less digits than its factorization.

3513240207360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 3513240207360 in words is "three trillion, five hundred thirteen billion, two hundred forty million, two hundred seven thousand, three hundred sixty".