3640508742 has 64 divisors (see below), whose sum is σ = 8159880960. Its totient is φ = 1075503744.

The previous prime is 3640508687. The next prime is 3640508743. The reversal of 3640508742 is 2478050463.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3640508742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640508743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188688 + ... + 207084.

It is an arithmetic number, because the mean of its divisors is an integer number (127498140).

Almost surely, 2^3640508742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640508742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4079940480).

3640508742 is an abundant number, since it is smaller than the sum of its proper divisors (4519372218).

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

3640508742 is a wasteful number, since it uses less digits than its factorization.

3640508742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18517.

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 3640508742 is about 60336.6285269570. The cubic root of 3640508742 is about 1538.3459981290.

The spelling of 3640508742 in words is "three billion, six hundred forty million, five hundred eight thousand, seven hundred forty-two".