3878519400 has 576 divisors, whose sum is σ = 16608758400. Its totient is φ = 789626880.

The previous prime is 3878519387. The next prime is 3878519401. The reversal of 3878519400 is 49158783.

3878519400 is a `hidden beast` number, since 387 + 85 + 194 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3878519401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4069324 + ... + 4070276.

It is an arithmetic number, because the mean of its divisors is an integer number (28834650).

Almost surely, 2^3878519400 is an apocalyptic number.

3878519400 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 3878519400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8304379200).

3878519400 is an abundant number, since it is smaller than the sum of its proper divisors (12730239000).

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

3878519400 is a wasteful number, since it uses less digits than its factorization.

3878519400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3878519400 is about 62277.7600753271. The cubic root of 3878519400 is about 1571.1656995155.

It can be divided in two parts, 38785 and 19400, that added together give a palindrome (58185).

The spelling of 3878519400 in words is "three billion, eight hundred seventy-eight million, five hundred nineteen thousand, four hundred".