3911768640 has 840 divisors, whose sum is σ = 16198047360. Its totient is φ = 892809216.

The previous prime is 3911768639. The next prime is 3911768681. The reversal of 3911768640 is 468671193.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 83229097 + ... + 83229143.

Almost surely, 2^3911768640 is an apocalyptic number.

3911768640 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 3911768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8099023680).

3911768640 is an abundant number, since it is smaller than the sum of its proper divisors (12286278720).

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

3911768640 is a wasteful number, since it uses less digits than its factorization.

3911768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3911768640 is about 62544.1335378467. The cubic root of 3911768640 is about 1575.6426221192.

The spelling of 3911768640 in words is "three billion, nine hundred eleven million, seven hundred sixty-eight thousand, six hundred forty".