3430309260240 has 300 divisors, whose sum is σ = 12454505180964. Its totient is φ = 874976560128.

The previous prime is 3430309260227. The next prime is 3430309260241. The reversal of 3430309260240 is 420629030343.

3430309260240 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 3 + 0 + 9 + 2 + 602 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1662026326416 + 1768282933824 = 1289196^2 + 1329768^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3430309260195 and 3430309260204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430309260241) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2927572 + ... + 3928268.

Almost surely, 2^{3430309260240} is an apocalyptic number.

3430309260240 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 3430309260240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227252590482).

3430309260240 is an abundant number, since it is smaller than the sum of its proper divisors (9024195920724).

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

3430309260240 is a wasteful number, since it uses less digits than its factorization.

3430309260240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000768 (or 1000730 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 3430309260240 in words is "three trillion, four hundred thirty billion, three hundred nine million, two hundred sixty thousand, two hundred forty".