3640519782 has 80 divisors (see below), whose sum is σ = 8474228400. Its totient is φ = 1158274080.

The previous prime is 3640519781. The next prime is 3640519819. The reversal of 3640519782 is 2879150463.

3640519782 is a `hidden beast` number, since 3 + 64 + 0 + 519 + 78 + 2 = 666.

3640519782 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

3640519782 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640519781) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49870098 + ... + 49870170.

It is an arithmetic number, because the mean of its divisors is an integer number (105927855).

It is a 2-persistent number, because it is pandigital, and so is 2⋅3640519782 = 7281039564, but 3⋅3640519782 = 10921559346 is not.

Almost surely, 2^3640519782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640519782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237114200).

3640519782 is an abundant number, since it is smaller than the sum of its proper divisors (4833708618).

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

3640519782 is an frugal number, since it uses more digits than its factorization.

3640519782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3640519782 is about 60336.7200136037. The cubic root of 3640519782 is about 1538.3475531610.

The spelling of 3640519782 in words is "three billion, six hundred forty million, five hundred nineteen thousand, seven hundred eighty-two".