3901584645 has 128 divisors (see below), whose sum is σ = 8388403200. Its totient is φ = 1681979904.

The previous prime is 3901584623. The next prime is 3901584649. The reversal of 3901584645 is 5464851093.

3901584645 is a `hidden beast` number, since 3 + 9 + 0 + 1 + 584 + 64 + 5 = 666.

It is not a de Polignac number, because 3901584645 - 2¹² = 3901580549 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3901584645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3901584649) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1585426 + ... + 1587884.

It is an arithmetic number, because the mean of its divisors is an integer number (65534400).

Almost surely, 2^3901584645 is an apocalyptic number.

3901584645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3901584645 is an abundant number, since it is smaller than the sum of its proper divisors (4486818555).

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

3901584645 is a wasteful number, since it uses less digits than its factorization.

3901584645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 3901584645 is about 62462.6660093852. Note that the first 3 decimals coincide. The cubic root of 3901584645 is about 1574.2740781704.

The spelling of 3901584645 in words is "three billion, nine hundred one million, five hundred eighty-four thousand, six hundred forty-five".