3663541152 has 72 divisors (see below), whose sum is σ = 10424215620. Its totient is φ = 1220474880.

The previous prime is 3663541151. The next prime is 3663541159. The reversal of 3663541152 is 2511453663.

3663541152 is a `hidden beast` number, since 3 + 6 + 63 + 541 + 1 + 52 = 666.

3663541152 is digitally balanced in base 2 and base 4, because in such bases 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 3662186256 + 1354896 = 60516^2 + 1164^2 .

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 not an unprimeable number, because it can be changed into a prime (3663541151) 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, 800952 + ... + 805512.

Almost surely, 2^3663541152 is an apocalyptic number.

3663541152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3663541152 is an abundant number, since it is smaller than the sum of its proper divisors (6760674468).

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

3663541152 is a wasteful number, since it uses less digits than its factorization.

3663541152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7366 (or 7355 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 3663541152 is about 60527.1934918512. The cubic root of 3663541152 is about 1541.5833986887.

The spelling of 3663541152 in words is "three billion, six hundred sixty-three million, five hundred forty-one thousand, one hundred fifty-two".