378100 has 36 divisors (see below), whose sum is σ = 868000. Its totient is φ = 142560.

The previous prime is 378089. The next prime is 378101. The reversal of 378100 is 1873.

It is a super-2 number, since 2×378100² = 285919220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1801 + ... + 1999.

2³⁷⁸¹⁰⁰ 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 378100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434000).

378100 is an abundant number, since it is smaller than the sum of its proper divisors (489900).

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

378100 is a wasteful number, since it uses less digits than its factorization.

378100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 378100 is about 614.8983655857. The cubic root of 378100 is about 72.3106434008.

378100 divided by its sum of digits (19) gives a triangular number (19900 = T₁₉₉).

Adding to 378100 its reverse (1873), we get a palindrome (379973).

The spelling of 378100 in words is "three hundred seventy-eight thousand, one hundred".