3878138880 has 528 divisors, whose sum is σ = 16768761984. Its totient is φ = 805109760.

The previous prime is 3878138839. The next prime is 3878138899. The reversal of 3878138880 is 888318783.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×3878138880² = 30079922345135308800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3547614 + ... + 3548706.

Almost surely, 2^3878138880 is an apocalyptic number.

3878138880 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 3878138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8384380992).

3878138880 is an abundant number, since it is smaller than the sum of its proper divisors (12890623104).

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

3878138880 is a wasteful number, since it uses less digits than its factorization.

3878138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 3878138880 is about 62274.7049772217. The cubic root of 3878138880 is about 1571.1143156872.

It can be divided in two parts, 387813 and 8880, that added together give a palindrome (396693).

The spelling of 3878138880 in words is "three billion, eight hundred seventy-eight million, one hundred thirty-eight thousand, eight hundred eighty".