8378861400 has 1152 divisors, whose sum is σ = 38372544000. Its totient is φ = 1635655680.

The previous prime is 8378861399. The next prime is 8378861401. The reversal of 8378861400 is 41688738.

It is an interprime number because it is at equal distance from previous prime (8378861399) and next prime (8378861401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8378861401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 142014571 + ... + 142014629.

It is an arithmetic number, because the mean of its divisors is an integer number (33309500).

Almost surely, 2^8378861400 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 8378861400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19186272000).

8378861400 is an abundant number, since it is smaller than the sum of its proper divisors (29993682600).

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

8378861400 is a wasteful number, since it uses less digits than its factorization.

8378861400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8378861400 is about 91536.1207393016. The cubic root of 8378861400 is about 2031.0861069816.

The spelling of 8378861400 in words is "eight billion, three hundred seventy-eight million, eight hundred sixty-one thousand, four hundred".