3919878144 has 768 divisors, whose sum is σ = 15410304000. Its totient is φ = 955514880.

The previous prime is 3919878091. The next prime is 3919878181. The reversal of 3919878144 is 4418789193.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95606764 + ... + 95606804.

It is an arithmetic number, because the mean of its divisors is an integer number (20065500).

Almost surely, 2^3919878144 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 3919878144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705152000).

3919878144 is an abundant number, since it is smaller than the sum of its proper divisors (11490425856).

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

3919878144 is a wasteful number, since it uses less digits than its factorization.

3919878144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 85 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 3919878144 is about 62608.9302256475. The cubic root of 3919878144 is about 1576.7306943492.

The spelling of 3919878144 in words is "three billion, nine hundred nineteen million, eight hundred seventy-eight thousand, one hundred forty-four".