378541800 has 288 divisors, whose sum is σ = 1565316480. Its totient is φ = 79833600.

The previous prime is 378541799. The next prime is 378541841. The reversal of 378541800 is 8145873.

378541800 is a `hidden beast` number, since 37 + 8 + 541 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 162645 + ... + 164955.

Almost surely, 2^378541800 is an apocalyptic number.

378541800 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 378541800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782658240).

378541800 is an abundant number, since it is smaller than the sum of its proper divisors (1186774680).

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

378541800 is a wasteful number, since it uses less digits than its factorization.

378541800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 378541800 is about 19456.1506984295. The cubic root of 378541800 is about 723.3879680583.

The spelling of 378541800 in words is "three hundred seventy-eight million, five hundred forty-one thousand, eight hundred".