3652515456 has 64 divisors (see below), whose sum is σ = 9743872320. Its totient is φ = 1212250112.

The previous prime is 3652515443. The next prime is 3652515457. The reversal of 3652515456 is 6545152563.

3652515456 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 (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3652515457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69061 + ... + 109883.

It is an arithmetic number, because the mean of its divisors is an integer number (152248005).

Almost surely, 2^3652515456 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 3652515456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871936160).

3652515456 is an abundant number, since it is smaller than the sum of its proper divisors (6091356864).

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

3652515456 is a wasteful number, since it uses less digits than its factorization.

3652515456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41073 (or 41061 counting only the distinct ones).

The product of its digits is 540000, while the sum is 42.

The square root of 3652515456 is about 60436.0443444142. The cubic root of 3652515456 is about 1540.0353418549.

The spelling of 3652515456 in words is "three billion, six hundred fifty-two million, five hundred fifteen thousand, four hundred fifty-six".