3645744048 has 120 divisors (see below), whose sum is σ = 10734469200. Its totient is φ = 1153377792.

The previous prime is 3645744029. The next prime is 3645744059. The reversal of 3645744048 is 8404475463.

3645744048 is a `hidden beast` number, since 36 + 4 + 574 + 4 + 0 + 48 = 666.

3645744048 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 junction number, because it is equal to n+sod(n) for n = 3645743994 and 3645744012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238986 + ... + 253782.

It is an arithmetic number, because the mean of its divisors is an integer number (89453910).

Almost surely, 2^3645744048 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 3645744048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367234600).

3645744048 is an abundant number, since it is smaller than the sum of its proper divisors (7088725152).

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

3645744048 is a wasteful number, since it uses less digits than its factorization.

3645744048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14899 (or 14890 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The square root of 3645744048 is about 60379.9970851275. The cubic root of 3645744048 is about 1539.0830612783.

The spelling of 3645744048 in words is "three billion, six hundred forty-five million, seven hundred forty-four thousand, forty-eight".