3520240352352 has 72 divisors (see below), whose sum is σ = 10011170529360. Its totient is φ = 1173356363520.

The previous prime is 3520240352311. The next prime is 3520240352357. The reversal of 3520240352352 is 2532530420253.

3520240352352 is a `hidden beast` number, since 35 + 2 + 0 + 240 + 35 + 2 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3520240352352² (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 not an unprimeable number, because it can be changed into a prime (3520240352357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5853202 + ... + 6426542.

It is an arithmetic number, because the mean of its divisors is an integer number (139044035130).

Almost surely, 2^{3520240352352} is an apocalyptic number.

3520240352352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3520240352352 is an abundant number, since it is smaller than the sum of its proper divisors (6490930177008).

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

3520240352352 is a wasteful number, since it uses less digits than its factorization.

3520240352352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594676 (or 594665 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 3520240352352 in words is "three trillion, five hundred twenty billion, two hundred forty million, three hundred fifty-two thousand, three hundred fifty-two".