3421313280 has 1296 divisors, whose sum is σ = 16357723200. Its totient is φ = 650280960.

The previous prime is 3421313263. The next prime is 3421313297. The reversal of 3421313280 is 823131243.

3421313280 is a `hidden beast` number, since 342 + 1 + 313 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3421313263) and next prime (3421313297).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 117976306 + ... + 117976334.

It is an arithmetic number, because the mean of its divisors is an integer number (12621700).

Almost surely, 2^3421313280 is an apocalyptic number.

3421313280 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 3421313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8178861600).

3421313280 is an abundant number, since it is smaller than the sum of its proper divisors (12936409920).

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

3421313280 is a wasteful number, since it uses less digits than its factorization.

3421313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3421313280 is about 58491.9932982284. The cubic root of 3421313280 is about 1506.8300794728.

The spelling of 3421313280 in words is "three billion, four hundred twenty-one million, three hundred thirteen thousand, two hundred eighty".