3505374144 has 168 divisors, whose sum is σ = 10968979840. Its totient is φ = 1106866944.

The previous prime is 3505374107. The next prime is 3505374151. The reversal of 3505374144 is 4414735053.

3505374144 is a `hidden beast` number, since 3 + 505 + 3 + 7 + 4 + 144 = 666.

3505374144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3505374144³ (a number of 30 digits) contains 333 as substring.

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 = 3505374099 and 3505374108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289557 + ... + 301419.

Almost surely, 2^3505374144 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 3505374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484489920).

3505374144 is an abundant number, since it is smaller than the sum of its proper divisors (7463605696).

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

3505374144 is a wasteful number, since it uses less digits than its factorization.

3505374144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11909 (or 11887 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 3505374144 is about 59206.2002158558. The cubic root of 3505374144 is about 1519.0711869399.

The spelling of 3505374144 in words is "three billion, five hundred five million, three hundred seventy-four thousand, one hundred forty-four".