3454431120 has 240 divisors, whose sum is σ = 13484315520. Its totient is φ = 776134656.

The previous prime is 3454431119. The next prime is 3454431181. The reversal of 3454431120 is 211344543.

It is a happy number.

3454431120 is a `hidden beast` number, since 3 + 4 + 544 + 3 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291552 + ... + 303168.

It is an arithmetic number, because the mean of its divisors is an integer number (56184648).

Almost surely, 2^3454431120 is an apocalyptic number.

3454431120 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 3454431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6742157760).

3454431120 is an abundant number, since it is smaller than the sum of its proper divisors (10029884400).

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

3454431120 is a wasteful number, since it uses less digits than its factorization.

3454431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11702 (or 11693 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3454431120 is about 58774.4087167196. The cubic root of 3454431120 is about 1511.6764445822.

Adding to 3454431120 its reverse (211344543), we get a palindrome (3665775663).

The spelling of 3454431120 in words is "three billion, four hundred fifty-four million, four hundred thirty-one thousand, one hundred twenty".