3421459200 has 432 divisors, whose sum is σ = 12135473280. Its totient is φ = 846397440.

The previous prime is 3421459199. The next prime is 3421459229. The reversal of 3421459200 is 29541243.

3421459200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 30278344 + ... + 30278456.

Almost surely, 2^3421459200 is an apocalyptic number.

3421459200 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 3421459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067736640).

3421459200 is an abundant number, since it is smaller than the sum of its proper divisors (8714014080).

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

3421459200 is a wasteful number, since it uses less digits than its factorization.

3421459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 3421459200 is about 58493.2406351366. The cubic root of 3421459200 is about 1506.8515014144.

The spelling of 3421459200 in words is "three billion, four hundred twenty-one million, four hundred fifty-nine thousand, two hundred".