378907200 has 504 divisors, whose sum is σ = 1615744800. Its totient is φ = 86123520.

The previous prime is 378907187. The next prime is 378907211. The reversal of 378907200 is 2709873.

It is a tau number, because it is divible by the number of its divisors (504).

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, 2116711 + ... + 2116889.

Almost surely, 2^378907200 is an apocalyptic number.

378907200 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 378907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807872400).

378907200 is an abundant number, since it is smaller than the sum of its proper divisors (1236837600).

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

378907200 is a wasteful number, since it uses less digits than its factorization.

378907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 378907200 is about 19465.5387801109. The cubic root of 378907200 is about 723.6206512647.

The spelling of 378907200 in words is "three hundred seventy-eight million, nine hundred seven thousand, two hundred".