3430710780840 has 576 divisors, whose sum is σ = 13738529001600. Its totient is φ = 727009468416.

The previous prime is 3430710780817. The next prime is 3430710780841. The reversal of 3430710780840 is 480870170343.

3430710780840 is a `hidden beast` number, since 3 + 430 + 71 + 0 + 78 + 0 + 84 + 0 = 666.

It is a super-2 number, since 2×3430710780840² (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 not an unprimeable number, because it can be changed into a prime (3430710780841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48759606 + ... + 48829914.

It is an arithmetic number, because the mean of its divisors is an integer number (23851612850).

Almost surely, 2^{3430710780840} is an apocalyptic number.

3430710780840 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 3430710780840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6869264500800).

3430710780840 is an abundant number, since it is smaller than the sum of its proper divisors (10307818220760).

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

3430710780840 is a wasteful number, since it uses less digits than its factorization.

3430710780840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70434 (or 70410 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 3430710780840 in words is "three trillion, four hundred thirty billion, seven hundred ten million, seven hundred eighty thousand, eight hundred forty".