378235200 has 168 divisors, whose sum is σ = 1418327872. Its totient is φ = 86446080.

The previous prime is 378235183. The next prime is 378235213. The reversal of 378235200 is 2532873.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×378235200³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 27972 + ... + 39228.

Almost surely, 2^378235200 is an apocalyptic number.

378235200 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 378235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709163936).

378235200 is an abundant number, since it is smaller than the sum of its proper divisors (1040092672).

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

378235200 is a wasteful number, since it uses less digits than its factorization.

378235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11289 (or 11274 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 378235200 is about 19448.2698459272. The cubic root of 378235200 is about 723.1926125671.

The spelling of 378235200 in words is "three hundred seventy-eight million, two hundred thirty-five thousand, two hundred".