3454144320 has 448 divisors, whose sum is σ = 12893478912. Its totient is φ = 774144000.

The previous prime is 3454144319. The next prime is 3454144327. The reversal of 3454144320 is 234414543.

It is a super-2 number, since 2×3454144320² = 23862225966776524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454144327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12745785 + ... + 12746055.

Almost surely, 2^3454144320 is an apocalyptic number.

3454144320 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 3454144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446739456).

3454144320 is an abundant number, since it is smaller than the sum of its proper divisors (9439334592).

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

3454144320 is a wasteful number, since it uses less digits than its factorization.

3454144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 3454144320 is about 58771.9688286857. The cubic root of 3454144320 is about 1511.6346083832.

Adding to 3454144320 its reverse (234414543), we get a palindrome (3688558863).

The spelling of 3454144320 in words is "three billion, four hundred fifty-four million, one hundred forty-four thousand, three hundred twenty".