3540006144 has 108 divisors (see below), whose sum is σ = 10297792596. Its totient is φ = 1169473536.

The previous prime is 3540006143. The next prime is 3540006163. The reversal of 3540006144 is 4416000453.

3540006144 is a `hidden beast` number, since 3 + 5 + 40 + 0 + 0 + 614 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 166719744 + 3373286400 = 12912^2 + 58080^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3540006143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253554 + ... + 267150.

Almost surely, 2^3540006144 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 3540006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148896298).

3540006144 is an abundant number, since it is smaller than the sum of its proper divisors (6757786452).

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

3540006144 is a wasteful number, since it uses less digits than its factorization.

3540006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13732 (or 13715 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3540006144 is about 59497.9507546268. The cubic root of 3540006144 is about 1524.0574512824.

Adding to 3540006144 its reverse (4416000453), we get a palindrome (7956006597).

The spelling of 3540006144 in words is "three billion, five hundred forty million, six thousand, one hundred forty-four".