3421752320 has 264 divisors, whose sum is σ = 9980254944. Its totient is φ = 1120272384.

The previous prime is 3421752277. The next prime is 3421752371. The reversal of 3421752320 is 232571243.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5769944 + ... + 5770536.

It is an arithmetic number, because the mean of its divisors is an integer number (37803996).

Almost surely, 2^3421752320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990127472).

3421752320 is an abundant number, since it is smaller than the sum of its proper divisors (6558502624).

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

3421752320 is a wasteful number, since it uses less digits than its factorization.

3421752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 3421752320 is about 58495.7461701276. The cubic root of 3421752320 is about 1506.8945313687.

The spelling of 3421752320 in words is "three billion, four hundred twenty-one million, seven hundred fifty-two thousand, three hundred twenty".