3512646144 has 360 divisors, whose sum is σ = 12080173248. Its totient is φ = 979292160.

The previous prime is 3512646113. The next prime is 3512646187. The reversal of 3512646144 is 4416462153.

3512646144 is a `hidden beast` number, since 3 + 5 + 1 + 2 + 646 + 1 + 4 + 4 = 666.

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 = 3512646099 and 3512646108.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10612059 + ... + 10612389.

Almost surely, 2^3512646144 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 3512646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6040086624).

3512646144 is an abundant number, since it is smaller than the sum of its proper divisors (8567527104).

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

3512646144 is a wasteful number, since it uses less digits than its factorization.

3512646144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 390 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3512646144 is about 59267.5808853373. The cubic root of 3512646144 is about 1520.1209137423.

The spelling of 3512646144 in words is "three billion, five hundred twelve million, six hundred forty-six thousand, one hundred forty-four".