378739200 has 240 divisors, whose sum is σ = 1430890560. Its totient is φ = 86507520.

The previous prime is 378739189. The next prime is 378739213. The reversal of 378739200 is 2937873.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268096 + ... + 269504.

It is an arithmetic number, because the mean of its divisors is an integer number (5962044).

Almost surely, 2^378739200 is an apocalyptic number.

378739200 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 378739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715445280).

378739200 is an abundant number, since it is smaller than the sum of its proper divisors (1052151360).

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

378739200 is a wasteful number, since it uses less digits than its factorization.

378739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 378739200 is about 19461.2229831529. Note that the first 3 decimals coincide. The cubic root of 378739200 is about 723.5136890667.

The spelling of 378739200 in words is "three hundred seventy-eight million, seven hundred thirty-nine thousand, two hundred".