3456689670 has 96 divisors (see below), whose sum is σ = 10416107520. Its totient is φ = 778962240.

The previous prime is 3456689657. The next prime is 3456689671. The reversal of 3456689670 is 769866543.

3456689670 is a `hidden beast` number, since 3 + 4 + 566 + 8 + 9 + 6 + 70 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456689671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6091 + ... + 83369.

It is an arithmetic number, because the mean of its divisors is an integer number (108501120).

Almost surely, 2^3456689670 is an apocalyptic number.

3456689670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3456689670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208053760).

3456689670 is an abundant number, since it is smaller than the sum of its proper divisors (6959417850).

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

3456689670 is a wasteful number, since it uses less digits than its factorization.

3456689670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77370 (or 77367 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 3456689670 is about 58793.6192966550. The cubic root of 3456689670 is about 1512.0058237577.

The spelling of 3456689670 in words is "three billion, four hundred fifty-six million, six hundred eighty-nine thousand, six hundred seventy".