3645383040 has 384 divisors, whose sum is σ = 13733647200. Its totient is φ = 885620736.

The previous prime is 3645383039. The next prime is 3645383069. The reversal of 3645383040 is 403835463.

3645383040 is a `hidden beast` number, since 3 + 645 + 3 + 8 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3645382986 and 3645383004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6664047 + ... + 6664593.

Almost surely, 2^3645383040 is an apocalyptic number.

3645383040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3645383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6866823600).

3645383040 is an abundant number, since it is smaller than the sum of its proper divisors (10088264160).

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

3645383040 is a wasteful number, since it uses less digits than its factorization.

3645383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3645383040 is about 60377.0075442631. The cubic root of 3645383040 is about 1539.0322586958.

The spelling of 3645383040 in words is "three billion, six hundred forty-five million, three hundred eighty-three thousand, forty".