3545535424200 has 576 divisors, whose sum is σ = 13962462505920. Its totient is φ = 735969024000.

The previous prime is 3545535424199. The next prime is 3545535424217. The reversal of 3545535424200 is 24245355453.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 343122234 + ... + 343132566.

It is an arithmetic number, because the mean of its divisors is an integer number (24240386295).

Almost surely, 2^{3545535424200} is an apocalyptic number.

3545535424200 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 3545535424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6981231252960).

3545535424200 is an abundant number, since it is smaller than the sum of its proper divisors (10416927081720).

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

3545535424200 is a wasteful number, since it uses less digits than its factorization.

3545535424200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11438 (or 11422 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 42.

The spelling of 3545535424200 in words is "three trillion, five hundred forty-five billion, five hundred thirty-five million, four hundred twenty-four thousand, two hundred".