3430826565120 has 560 divisors, whose sum is σ = 13058879557680. Its totient is φ = 861062234112.

The previous prime is 3430826565109. The next prime is 3430826565121. The reversal of 3430826565120 is 215656280343.

3430826565120 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 82 + 6 + 56 + 512 + 0 = 666.

It is a super-2 number, since 2×3430826565120² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430826565121) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31672011 + ... + 31780149.

Almost surely, 2^{3430826565120} is an apocalyptic number.

3430826565120 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 3430826565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6529439778840).

3430826565120 is an abundant number, since it is smaller than the sum of its proper divisors (9628052992560).

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

3430826565120 is an equidigital number, since it uses as much as digits as its factorization.

3430826565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108197 (or 108166 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 3430826565120 in words is "three trillion, four hundred thirty billion, eight hundred twenty-six million, five hundred sixty-five thousand, one hundred twenty".