3431346336 has 144 divisors (see below), whose sum is σ = 10892962080. Its totient is φ = 1015580160.

The previous prime is 3431346329. The next prime is 3431346337. The reversal of 3431346336 is 6336431343.

3431346336 is a `hidden beast` number, since 3 + 4 + 3 + 13 + 4 + 633 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3431346336.

It is not an unprimeable number, because it can be changed into a prime (3431346337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123630 + ... + 148818.

It is an arithmetic number, because the mean of its divisors is an integer number (75645570).

Almost surely, 2^3431346336 is an apocalyptic number.

3431346336 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 3431346336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446481040).

3431346336 is an abundant number, since it is smaller than the sum of its proper divisors (7461615744).

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

3431346336 is a wasteful number, since it uses less digits than its factorization.

3431346336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25259 (or 25248 counting only the distinct ones).

The product of its digits is 139968, while the sum is 36.

The square root of 3431346336 is about 58577.6948675859. The cubic root of 3431346336 is about 1508.3015764614.

Adding to 3431346336 its reverse (6336431343), we get a palindrome (9767777679).

The spelling of 3431346336 in words is "three billion, four hundred thirty-one million, three hundred forty-six thousand, three hundred thirty-six".