3531421800 has 336 divisors, whose sum is σ = 12569915340. Its totient is φ = 921922560.

The previous prime is 3531421783. The next prime is 3531421801. The reversal of 3531421800 is 81241353.

It is a happy number.

3531421800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2377732644 + 1153689156 = 48762^2 + 33966^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3531421801) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7727172 + ... + 7727628.

Almost surely, 2^3531421800 is an apocalyptic number.

3531421800 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 3531421800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6284957670).

3531421800 is an abundant number, since it is smaller than the sum of its proper divisors (9038493540).

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

3531421800 is a wasteful number, since it uses less digits than its factorization.

3531421800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3531421800 is about 59425.7671385065. The cubic root of 3531421800 is about 1522.8245322406.

The spelling of 3531421800 in words is "three billion, five hundred thirty-one million, four hundred twenty-one thousand, eight hundred".