3526506144 has 72 divisors (see below), whose sum is σ = 11461151520. Its totient is φ = 1007572608.

The previous prime is 3526506133. The next prime is 3526506157. The reversal of 3526506144 is 4416056253.

3526506144 is a `hidden beast` number, since 3 + 5 + 2 + 6 + 506 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 3526506099 and 3526506108.

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 11 ways as a sum of consecutive naturals, for example, 872614 + ... + 876645.

It is an arithmetic number, because the mean of its divisors is an integer number (159182660).

Almost surely, 2^3526506144 is an apocalyptic number.

It is an amenable number.

3526506144 is an abundant number, since it is smaller than the sum of its proper divisors (7934645376).

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

3526506144 is a wasteful number, since it uses less digits than its factorization.

3526506144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749282 (or 1749271 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3526506144 is about 59384.3931012181. The cubic root of 3526506144 is about 1522.1176255084.

The spelling of 3526506144 in words is "three billion, five hundred twenty-six million, five hundred six thousand, one hundred forty-four".