3562452413520 has 960 divisors, whose sum is σ = 15214169088000. Its totient is φ = 683278202880.

The previous prime is 3562452413503. The next prime is 3562452413543. The reversal of 3562452413520 is 253142542653.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 153021241 + ... + 153044519.

It is an arithmetic number, because the mean of its divisors is an integer number (15848092800).

Almost surely, 2^{3562452413520} is an apocalyptic number.

3562452413520 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 3562452413520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607084544000).

3562452413520 is an abundant number, since it is smaller than the sum of its proper divisors (11651716674480).

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

3562452413520 is a wasteful number, since it uses less digits than its factorization.

3562452413520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23353 (or 23320 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 3562452413520 in words is "three trillion, five hundred sixty-two billion, four hundred fifty-two million, four hundred thirteen thousand, five hundred twenty".