3421982800 has 30 divisors (see below), whose sum is σ = 8221314638. Its totient is φ = 1368792960.

The previous prime is 3421982797. The next prime is 3421982813. The reversal of 3421982800 is 82891243.

3421982800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 198922816 + 3223059984 = 14104^2 + 56772^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3421982800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4277079 + ... + 4277878.

Almost surely, 2^3421982800 is an apocalyptic number.

It is an amenable number.

3421982800 is an abundant number, since it is smaller than the sum of its proper divisors (4799331838).

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

3421982800 is a wasteful number, since it uses less digits than its factorization.

3421982800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8554975 (or 8554964 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 3421982800 is about 58497.7161947370. The cubic root of 3421982800 is about 1506.9283640585.

The spelling of 3421982800 in words is "three billion, four hundred twenty-one million, nine hundred eighty-two thousand, eight hundred".