3430084331240 has 128 divisors (see below), whose sum is σ = 8836000542720. Its totient is φ = 1173926476800.

The previous prime is 3430084331203. The next prime is 3430084331251. The reversal of 3430084331240 is 421334800343.

3430084331240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3430084331240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417230330 + ... + 417238550.

It is an arithmetic number, because the mean of its divisors is an integer number (69031254240).

Almost surely, 2^{3430084331240} is an apocalyptic number.

It is an amenable number.

3430084331240 is an abundant number, since it is smaller than the sum of its proper divisors (5405916211480).

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

3430084331240 is a wasteful number, since it uses less digits than its factorization.

3430084331240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10723 (or 10719 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The spelling of 3430084331240 in words is "three trillion, four hundred thirty billion, eighty-four million, three hundred thirty-one thousand, two hundred forty".