3878142624 has 120 divisors (see below), whose sum is σ = 11799031860. Its totient is φ = 1248113664.

The previous prime is 3878142613. The next prime is 3878142689. The reversal of 3878142624 is 4262418783.

It is a happy number.

3878142624 is a `hidden beast` number, since 3 + 8 + 7 + 8 + 14 + 2 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3371892624 + 506250000 = 58068^2 + 22500^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3878142624.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49372 + ... + 100964.

Almost surely, 2^3878142624 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 3878142624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899515930).

3878142624 is an abundant number, since it is smaller than the sum of its proper divisors (7920889236).

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

3878142624 is a wasteful number, since it uses less digits than its factorization.

3878142624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51644 (or 51627 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 3878142624 is about 62274.7350375736. The cubic root of 3878142624 is about 1571.1148212776.

The spelling of 3878142624 in words is "three billion, eight hundred seventy-eight million, one hundred forty-two thousand, six hundred twenty-four".