3434311320 has 128 divisors (see below), whose sum is σ = 11255293440. Its totient is φ = 831395840.

The previous prime is 3434311319. The next prime is 3434311333. The reversal of 3434311320 is 231134343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1288309 + ... + 1290971.

It is an arithmetic number, because the mean of its divisors is an integer number (87931980).

Almost surely, 2^3434311320 is an apocalyptic number.

3434311320 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 3434311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5627646720).

3434311320 is an abundant number, since it is smaller than the sum of its proper divisors (7820982120).

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

3434311320 is a wasteful number, since it uses less digits than its factorization.

3434311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3434311320 is about 58602.9975342559. The cubic root of 3434311320 is about 1508.7358863142.

Adding to 3434311320 its reverse (231134343), we get a palindrome (3665445663).

The spelling of 3434311320 in words is "three billion, four hundred thirty-four million, three hundred eleven thousand, three hundred twenty".