3431069856 has 144 divisors (see below), whose sum is σ = 10401955200. Its totient is φ = 1069645824.

The previous prime is 3431069839. The next prime is 3431069879. The reversal of 3431069856 is 6589601343.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 428320 + ... + 436256.

It is an arithmetic number, because the mean of its divisors is an integer number (72235800).

Almost surely, 2^3431069856 is an apocalyptic number.

3431069856 is a gapful number since it is divisible by the number (36) 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 3431069856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200977600).

3431069856 is an abundant number, since it is smaller than the sum of its proper divisors (6970885344).

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

3431069856 is a wasteful number, since it uses less digits than its factorization.

3431069856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8051 (or 8040 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3431069856 is about 58575.3348774038. The cubic root of 3431069856 is about 1508.2610650139.

The spelling of 3431069856 in words is "three billion, four hundred thirty-one million, sixty-nine thousand, eight hundred fifty-six".