3503142400 has 180 divisors, whose sum is σ = 9229624668. Its totient is φ = 1317437440.

The previous prime is 3503142371. The next prime is 3503142403. The reversal of 3503142400 is 42413053.

3503142400 is nontrivially palindromic in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3503142403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3698727 + ... + 3699673.

Almost surely, 2^3503142400 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 3503142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614812334).

3503142400 is an abundant number, since it is smaller than the sum of its proper divisors (5726482268).

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

3503142400 is an equidigital number, since it uses as much as digits as its factorization.

3503142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 3503142400 is about 59187.3499998099. The cubic root of 3503142400 is about 1518.7487394075.

Adding to 3503142400 its reverse (42413053), we get a palindrome (3545555453).

The spelling of 3503142400 in words is "three billion, five hundred three million, one hundred forty-two thousand, four hundred".