3421985280 has 320 divisors, whose sum is σ = 12748969728. Its totient is φ = 766771200.

The previous prime is 3421985257. The next prime is 3421985317. The reversal of 3421985280 is 825891243.

3421985280 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 (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2848680 + ... + 2849880.

Almost surely, 2^3421985280 is an apocalyptic number.

3421985280 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 3421985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374484864).

3421985280 is an abundant number, since it is smaller than the sum of its proper divisors (9326984448).

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

3421985280 is a wasteful number, since it uses less digits than its factorization.

3421985280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 3421985280 is about 58497.7373921419. The cubic root of 3421985280 is about 1506.9287280951.

The spelling of 3421985280 in words is "three billion, four hundred twenty-one million, nine hundred eighty-five thousand, two hundred eighty".