3718640640 has 352 divisors, whose sum is σ = 13981435776. Its totient is φ = 831651840.

The previous prime is 3718640599. The next prime is 3718640647. The reversal of 3718640640 is 460468173.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3718640647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2195634 + ... + 2197326.

It is an arithmetic number, because the mean of its divisors is an integer number (39719988).

Almost surely, 2^3718640640 is an apocalyptic number.

3718640640 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 3718640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990717888).

3718640640 is an abundant number, since it is smaller than the sum of its proper divisors (10262795136).

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

3718640640 is a wasteful number, since it uses less digits than its factorization.

3718640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 3718640640 is about 60980.6579170806. The cubic root of 3718640640 is about 1549.2734215155.

The spelling of 3718640640 in words is "three billion, seven hundred eighteen million, six hundred forty thousand, six hundred forty".