3918984960 has 144 divisors (see below), whose sum is σ = 13654247040. Its totient is φ = 950046720.

The previous prime is 3918984943. The next prime is 3918984967. The reversal of 3918984960 is 694898193.

3918984960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3918984960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3918984967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4150 + ... + 88629.

It is an arithmetic number, because the mean of its divisors is an integer number (94821160).

Almost surely, 2^3918984960 is an apocalyptic number.

3918984960 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 3918984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6827123520).

3918984960 is an abundant number, since it is smaller than the sum of its proper divisors (9735262080).

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

3918984960 is a wasteful number, since it uses less digits than its factorization.

3918984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92814 (or 92800 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The square root of 3918984960 is about 62601.7967793258. The cubic root of 3918984960 is about 1576.6109272241.

The spelling of 3918984960 in words is "three billion, nine hundred eighteen million, nine hundred eighty-four thousand, nine hundred sixty".