3406456710 has 96 divisors (see below), whose sum is σ = 9103479840. Its totient is φ = 883238400.

The previous prime is 3406456709. The next prime is 3406456717. The reversal of 3406456710 is 176546043.

It is a happy number.

3406456710 is a `hidden beast` number, since 3 + 4 + 0 + 645 + 6 + 7 + 1 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406456717) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1219996 + ... + 1222784.

It is an arithmetic number, because the mean of its divisors is an integer number (94827915).

Almost surely, 2^3406456710 is an apocalyptic number.

3406456710 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 3406456710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551739920).

3406456710 is an abundant number, since it is smaller than the sum of its proper divisors (5697023130).

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

3406456710 is a wasteful number, since it uses less digits than its factorization.

3406456710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3406456710 is about 58364.8585194893. The cubic root of 3406456710 is about 1504.6458492012.

The spelling of 3406456710 in words is "three billion, four hundred six million, four hundred fifty-six thousand, seven hundred ten".