3661003152 has 60 divisors (see below), whose sum is σ = 10599037020. Its totient is φ = 1178252544.

The previous prime is 3661003141. The next prime is 3661003153. The reversal of 3661003152 is 2513001663.

3661003152 is a `hidden beast` number, since 36 + 610 + 0 + 3 + 15 + 2 = 666.

3661003152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 682463376 + 2978539776 = 26124^2 + 54576^2 .

It is not an unprimeable number, because it can be changed into a prime (3661003153) 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, 434163 + ... + 442514.

It is an arithmetic number, because the mean of its divisors is an integer number (176650617).

Almost surely, 2^3661003152 is an apocalyptic number.

It is an amenable number.

3661003152 is an abundant number, since it is smaller than the sum of its proper divisors (6938033868).

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

3661003152 is a wasteful number, since it uses less digits than its factorization.

3661003152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876720 (or 876711 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3661003152 is about 60506.2240765361. The cubic root of 3661003152 is about 1541.2273276679.

The spelling of 3661003152 in words is "three billion, six hundred sixty-one million, three thousand, one hundred fifty-two".