3525624000 has 336 divisors, whose sum is σ = 13166262720. Its totient is φ = 898867200.

The previous prime is 3525623993. The next prime is 3525624043. The reversal of 3525624000 is 4265253.

3525624000 is a `hidden beast` number, since 3 + 5 + 256 + 2 + 400 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1654936 + ... + 1657064.

Almost surely, 2^3525624000 is an apocalyptic number.

3525624000 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 3525624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583131360).

3525624000 is an abundant number, since it is smaller than the sum of its proper divisors (9640638720).

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

3525624000 is a wasteful number, since it uses less digits than its factorization.

3525624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2185 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3525624000 is about 59376.9652306347. The cubic root of 3525624000 is about 1521.9906973391.

Adding to 3525624000 its reverse (4265253), we get a palindrome (3529889253).

The spelling of 3525624000 in words is "three billion, five hundred twenty-five million, six hundred twenty-four thousand".