3652563120 has 40 divisors (see below), whose sum is σ = 11322946416. Its totient is φ = 974016768.

The previous prime is 3652563049. The next prime is 3652563143. The reversal of 3652563120 is 213652563.

3652563120 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 is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7609267 + ... + 7609746.

Almost surely, 2^3652563120 is an apocalyptic number.

3652563120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3652563120 is an abundant number, since it is smaller than the sum of its proper divisors (7670383296).

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

3652563120 is a wasteful number, since it uses less digits than its factorization.

3652563120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15219029 (or 15219023 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 3652563120 is about 60436.4386773410. The cubic root of 3652563120 is about 1540.0420407931.

The spelling of 3652563120 in words is "three billion, six hundred fifty-two million, five hundred sixty-three thousand, one hundred twenty".