3430220648580 has 216 divisors, whose sum is σ = 11447352798336. Its totient is φ = 830808908160.

The previous prime is 3430220648573. The next prime is 3430220648609. The reversal of 3430220648580 is 858460220343.

3430220648580 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 2 + 2 + 0 + 64 + 8 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23951947 + ... + 24094733.

It is an arithmetic number, because the mean of its divisors is an integer number (52997003696).

Almost surely, 2^{3430220648580} is an apocalyptic number.

3430220648580 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 3430220648580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723676399168).

3430220648580 is an abundant number, since it is smaller than the sum of its proper divisors (8017132149756).

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

3430220648580 is a wasteful number, since it uses less digits than its factorization.

3430220648580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143927 (or 143911 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 3430220648580 in words is "three trillion, four hundred thirty billion, two hundred twenty million, six hundred forty-eight thousand, five hundred eighty".