3430939680 has 480 divisors, whose sum is σ = 14094622080. Its totient is φ = 769720320.

The previous prime is 3430939667. The next prime is 3430939717. The reversal of 3430939680 is 869390343.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5352160 + ... + 5352800.

It is an arithmetic number, because the mean of its divisors is an integer number (29363796).

Almost surely, 2^3430939680 is an apocalyptic number.

3430939680 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 3430939680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7047311040).

3430939680 is an abundant number, since it is smaller than the sum of its proper divisors (10663682400).

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

3430939680 is a wasteful number, since it uses less digits than its factorization.

3430939680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3430939680 is about 58574.2236824356. The cubic root of 3430939680 is about 1508.2419901205.

The spelling of 3430939680 in words is "three billion, four hundred thirty million, nine hundred thirty-nine thousand, six hundred eighty".