3543429120 has 624 divisors, whose sum is σ = 14522053248. Its totient is φ = 729415680.

The previous prime is 3543429103. The next prime is 3543429121. The reversal of 3543429120 is 219243453.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3543429121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 33116107 + ... + 33116213.

Almost surely, 2^3543429120 is an apocalyptic number.

3543429120 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 3543429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7261026624).

3543429120 is an abundant number, since it is smaller than the sum of its proper divisors (10978624128).

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

3543429120 is a wasteful number, since it uses less digits than its factorization.

3543429120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 3543429120 is about 59526.7092992717. The cubic root of 3543429120 is about 1524.5485174294.

The spelling of 3543429120 in words is "three billion, five hundred forty-three million, four hundred twenty-nine thousand, one hundred twenty".