3645625540 has 48 divisors (see below), whose sum is σ = 7908454512. Its totient is φ = 1410587136.

The previous prime is 3645625523. The next prime is 3645625541. The reversal of 3645625540 is 455265463.

It is a happy number.

3645625540 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 8 ways, for example, as 472105984 + 3173519556 = 21728^2 + 56334^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3645625493 and 3645625502.

It is not an unprimeable number, because it can be changed into a prime (3645625541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113782 + ... + 142258.

It is an arithmetic number, because the mean of its divisors is an integer number (164759469).

Almost surely, 2^3645625540 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 3645625540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954227256).

3645625540 is an abundant number, since it is smaller than the sum of its proper divisors (4262828972).

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

3645625540 is a wasteful number, since it uses less digits than its factorization.

3645625540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28696 (or 28694 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The square root of 3645625540 is about 60379.0157256642. The cubic root of 3645625540 is about 1539.0663846979.

The spelling of 3645625540 in words is "three billion, six hundred forty-five million, six hundred twenty-five thousand, five hundred forty".