3918685824 has 128 divisors (see below), whose sum is σ = 11674756800. Its totient is φ = 1293898752.

The previous prime is 3918685817. The next prime is 3918685877. The reversal of 3918685824 is 4285868193.

It is a tau number, because it is divible by the number of its divisors (128).

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

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 15 ways as a sum of consecutive naturals, for example, 364494 + ... + 375090.

Almost surely, 2^3918685824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3918685824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837378400).

3918685824 is an abundant number, since it is smaller than the sum of its proper divisors (7756070976).

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

3918685824 is a wasteful number, since it uses less digits than its factorization.

3918685824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10727 (or 10709 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 3918685824 is about 62599.4075371325. The cubic root of 3918685824 is about 1576.5708119824.

The spelling of 3918685824 in words is "three billion, nine hundred eighteen million, six hundred eighty-five thousand, eight hundred twenty-four".