3430674960 has 160 divisors (see below), whose sum is σ = 11230412160. Its totient is φ = 863944704.

The previous prime is 3430674937. The next prime is 3430674967. The reversal of 3430674960 is 694760343.

3430674960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3430674967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1699872 + ... + 1701888.

It is an arithmetic number, because the mean of its divisors is an integer number (70190076).

Almost surely, 2^3430674960 is an apocalyptic number.

3430674960 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 3430674960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5615206080).

3430674960 is an abundant number, since it is smaller than the sum of its proper divisors (7799737200).

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

3430674960 is a wasteful number, since it uses less digits than its factorization.

3430674960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The square root of 3430674960 is about 58571.9639418041. The cubic root of 3430674960 is about 1508.2031987955.

The spelling of 3430674960 in words is "three billion, four hundred thirty million, six hundred seventy-four thousand, nine hundred sixty".