3918991680 has 224 divisors, whose sum is σ = 14553590400. Its totient is φ = 990019584.

The previous prime is 3918991679. The next prime is 3918991711. The reversal of 3918991680 is 861998193.

3918991680 is a `hidden beast` number, since 391 + 8 + 99 + 168 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 152224 + ... + 176096.

Almost surely, 2^3918991680 is an apocalyptic number.

3918991680 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 3918991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7276795200).

3918991680 is an abundant number, since it is smaller than the sum of its proper divisors (10634598720).

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

3918991680 is a wasteful number, since it uses less digits than its factorization.

3918991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23918 (or 23902 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The square root of 3918991680 is about 62601.8504518836. The cubic root of 3918991680 is about 1576.6118283774.

The spelling of 3918991680 in words is "three billion, nine hundred eighteen million, nine hundred ninety-one thousand, six hundred eighty".