3535224000 has 448 divisors, whose sum is σ = 14561344512. Its totient is φ = 734208000.

The previous prime is 3535223983. The next prime is 3535224019. The reversal of 3535224000 is 4225353.

3535224000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1847044 + ... + 1848956.

Almost surely, 2^3535224000 is an apocalyptic number.

3535224000 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 3535224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7280672256).

3535224000 is an abundant number, since it is smaller than the sum of its proper divisors (11026120512).

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

3535224000 is a wasteful number, since it uses less digits than its factorization.

3535224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 3535224000 is about 59457.7497051478. The cubic root of 3535224000 is about 1523.3708661717.

Adding to 3535224000 its reverse (4225353), we get a palindrome (3539449353).

The spelling of 3535224000 in words is "three billion, five hundred thirty-five million, two hundred twenty-four thousand".