3418640640 has 432 divisors, whose sum is σ = 12722673600. Its totient is φ = 877879296.

The previous prime is 3418640591. The next prime is 3418640647. The reversal of 3418640640 is 460468143.

3418640640 is a `hidden beast` number, since 3 + 4 + 1 + 8 + 6 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3418640595 and 3418640604.

It is not an unprimeable number, because it can be changed into a prime (3418640647) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9019971 + ... + 9020349.

Almost surely, 2^3418640640 is an apocalyptic number.

3418640640 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 3418640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361336800).

3418640640 is an abundant number, since it is smaller than the sum of its proper divisors (9304032960).

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

3418640640 is an equidigital number, since it uses as much as digits as its factorization.

3418640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3418640640 is about 58469.1426309639. The cubic root of 3418640640 is about 1506.4376119104.

The spelling of 3418640640 in words is "three billion, four hundred eighteen million, six hundred forty thousand, six hundred forty".