3430550430720 has 2112 divisors, whose sum is σ = 15516776171520. Its totient is φ = 714194288640.

The previous prime is 3430550430667. The next prime is 3430550430767. The reversal of 3430550430720 is 270340550343.

3430550430720 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 550 + 4 + 30 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 110662917105 + ... + 110662917135.

Almost surely, 2^{3430550430720} is an apocalyptic number.

3430550430720 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 3430550430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7758388085760).

3430550430720 is an abundant number, since it is smaller than the sum of its proper divisors (12086225740800).

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

3430550430720 is an equidigital number, since it uses as much as digits as its factorization.

3430550430720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The spelling of 3430550430720 in words is "three trillion, four hundred thirty billion, five hundred fifty million, four hundred thirty thousand, seven hundred twenty".