3435728144 has 40 divisors (see below), whose sum is σ = 6698644920. Its totient is φ = 1707081728.

The previous prime is 3435728141. The next prime is 3435728161. The reversal of 3435728144 is 4418275343.

It can be written as a sum of positive squares in 4 ways, for example, as 636048400 + 2799679744 = 25220^2 + 52912^2 .

It is not an unprimeable number, because it can be changed into a prime (3435728141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2437712 + ... + 2439120.

It is an arithmetic number, because the mean of its divisors is an integer number (167466123).

Almost surely, 2^3435728144 is an apocalyptic number.

It is an amenable number.

3435728144 is a deficient number, since it is larger than the sum of its proper divisors (3262916776).

3435728144 is a wasteful number, since it uses less digits than its factorization.

3435728144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2261 counting only the distinct ones).

The product of its digits is 322560, while the sum is 41.

The square root of 3435728144 is about 58615.0846113865. The cubic root of 3435728144 is about 1508.9433339531.

The spelling of 3435728144 in words is "three billion, four hundred thirty-five million, seven hundred twenty-eight thousand, one hundred forty-four".