3435345144 has 192 divisors, whose sum is σ = 11687120640. Its totient is φ = 885588480.

The previous prime is 3435345127. The next prime is 3435345163. The reversal of 3435345144 is 4415435343.

3435345144 is a `hidden beast` number, since 34 + 3 + 534 + 51 + 44 = 666.

3435345144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3435345099 and 3435345108.

It is a congruent number.

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, 757267 + ... + 761789.

It is an arithmetic number, because the mean of its divisors is an integer number (60870420).

Almost surely, 2^3435345144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3435345144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5843560320).

3435345144 is an abundant number, since it is smaller than the sum of its proper divisors (8251775496).

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

3435345144 is a wasteful number, since it uses less digits than its factorization.

3435345144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4690 (or 4683 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 3435345144 is about 58611.8174432426. The cubic root of 3435345144 is about 1508.8872617273.

It can be divided in two parts, 34353 and 45144, that added together give a palindrome (79497).

The spelling of 3435345144 in words is "three billion, four hundred thirty-five million, three hundred forty-five thousand, one hundred forty-four".