3516282144 has 48 divisors (see below), whose sum is σ = 10255825440. Its totient is φ = 1172093760.

The previous prime is 3516282137. The next prime is 3516282157. The reversal of 3516282144 is 4412826153.

It is a happy number.

3516282144 is a `hidden beast` number, since 3 + 5 + 1 + 628 + 21 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 3516282099 and 3516282108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2034022 + ... + 2035749.

It is an arithmetic number, because the mean of its divisors is an integer number (213663030).

Almost surely, 2^3516282144 is an apocalyptic number.

It is an amenable number.

3516282144 is an abundant number, since it is smaller than the sum of its proper divisors (6739543296).

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

3516282144 is a wasteful number, since it uses less digits than its factorization.

3516282144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4069790 (or 4069776 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 3516282144 is about 59298.2473939998. The cubic root of 3516282144 is about 1520.6452339106.

The spelling of 3516282144 in words is "three billion, five hundred sixteen million, two hundred eighty-two thousand, one hundred forty-four".