3918982383360 has 1296 divisors, whose sum is σ = 15959321763840. Its totient is φ = 919135641600.

The previous prime is 3918982383353. The next prime is 3918982383373. The reversal of 3918982383360 is 633832898193.

3918982383360 is a `hidden beast` number, since 3 + 91 + 8 + 98 + 23 + 83 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1166709361 + ... + 1166712719.

Almost surely, 2^{3918982383360} is an apocalyptic number.

3918982383360 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 3918982383360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979660881920).

3918982383360 is an abundant number, since it is smaller than the sum of its proper divisors (12040339380480).

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

3918982383360 is a wasteful number, since it uses less digits than its factorization.

3918982383360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 3918982383360 in words is "three trillion, nine hundred eighteen billion, nine hundred eighty-two million, three hundred eighty-three thousand, three hundred sixty".