3528940800 has 972 divisors, whose sum is σ = 15371599488. Its totient is φ = 709632000.

The previous prime is 3528940799. The next prime is 3528940841. The reversal of 3528940800 is 80498253.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 113836785 + ... + 113836815.

Almost surely, 2^3528940800 is an apocalyptic number.

3528940800 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 3528940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7685799744).

3528940800 is an abundant number, since it is smaller than the sum of its proper divisors (11842658688).

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

3528940800 is a wasteful number, since it uses less digits than its factorization.

3528940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 3528940800 is about 59404.8886877166. Note that the first 3 decimals coincide. The cubic root of 3528940800 is about 1522.4678286239.

The spelling of 3528940800 in words is "three billion, five hundred twenty-eight million, nine hundred forty thousand, eight hundred".