3640789920 has 192 divisors, whose sum is σ = 11916253440. Its totient is φ = 934384640.

The previous prime is 3640789913. The next prime is 3640789931. The reversal of 3640789920 is 299870463.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3640789920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11706565 + ... + 11706875.

It is an arithmetic number, because the mean of its divisors is an integer number (62063820).

Almost surely, 2^3640789920 is an apocalyptic number.

3640789920 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 3640789920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5958126720).

3640789920 is an abundant number, since it is smaller than the sum of its proper divisors (8275463520).

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

3640789920 is an equidigital number, since it uses as much as digits as its factorization.

3640789920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 3640789920 is about 60338.9585591266. The cubic root of 3640789920 is about 1538.3856022930.

The spelling of 3640789920 in words is "three billion, six hundred forty million, seven hundred eighty-nine thousand, nine hundred twenty".