3542304000 has 144 divisors (see below), whose sum is σ = 11766081600. Its totient is φ = 944588800.

The previous prime is 3542303993. The next prime is 3542304023. The reversal of 3542304000 is 4032453.

It is a happy number.

It is a super-3 number, since 3×3542304000³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77551 + ... + 114449.

It is an arithmetic number, because the mean of its divisors is an integer number (81708900).

Almost surely, 2^3542304000 is an apocalyptic number.

3542304000 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 3542304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5883040800).

3542304000 is an abundant number, since it is smaller than the sum of its proper divisors (8223777600).

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

3542304000 is an equidigital number, since it uses as much as digits as its factorization.

3542304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36933 (or 36909 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3542304000 is about 59517.2580013562. The cubic root of 3542304000 is about 1524.3871406433.

Adding to 3542304000 its reverse (4032453), we get a palindrome (3546336453).

The spelling of 3542304000 in words is "three billion, five hundred forty-two million, three hundred four thousand".