3878798400 has 315 divisors, whose sum is σ = 14340376831. Its totient is φ = 1028367360.

The previous prime is 3878798383. The next prime is 3878798419. The reversal of 3878798400 is 48978783.

The square root of 3878798400 is 62280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 427000896 + 3451797504 = 20664^2 + 58752^2 .

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

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 22420714 + ... + 22420886.

Almost surely, 2^3878798400 is an apocalyptic number.

3878798400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3878798400 is the 62280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3878798400

3878798400 is an abundant number, since it is smaller than the sum of its proper divisors (10461578431).

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

3878798400 is an equidigital number, since it uses as much as digits as its factorization.

3878798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The cubic root of 3878798400 is about 1571.2033723724.

The spelling of 3878798400 in words is "three billion, eight hundred seventy-eight million, seven hundred ninety-eight thousand, four hundred".