3640773825 has 240 divisors, whose sum is σ = 7940116800. Its totient is φ = 1632960000.

The previous prime is 3640773823. The next prime is 3640773833. The reversal of 3640773825 is 5283770463.

It is not a de Polignac number, because 3640773825 - 2¹ = 3640773823 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (3640773821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14504950 + ... + 14505200.

It is an arithmetic number, because the mean of its divisors is an integer number (33083820).

Almost surely, 2^3640773825 is an apocalyptic number.

It is an amenable number.

3640773825 is an abundant number, since it is smaller than the sum of its proper divisors (4299342975).

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

3640773825 is a wasteful number, since it uses less digits than its factorization.

3640773825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3640773825 is about 60338.8251874363. The cubic root of 3640773825 is about 1538.3833353534.

The spelling of 3640773825 in words is "three billion, six hundred forty million, seven hundred seventy-three thousand, eight hundred twenty-five".