378028200 has 288 divisors, whose sum is σ = 1329914880. Its totient is φ = 88704000.

The previous prime is 378028187. The next prime is 378028213. The reversal of 378028200 is 2820873.

378028200 = T₈₂₈₅ + T₈₂₈₆ + ... + T₈₂₉₅.

It is an interprime number because it is at equal distance from previous prime (378028187) and next prime (378028213).

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

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, 2976537 + ... + 2976663.

It is an arithmetic number, because the mean of its divisors is an integer number (4617760).

Almost surely, 2^378028200 is an apocalyptic number.

378028200 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 378028200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664957440).

378028200 is an abundant number, since it is smaller than the sum of its proper divisors (951886680).

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

378028200 is a wasteful number, since it uses less digits than its factorization.

378028200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 378028200 is about 19442.9473074429. The cubic root of 378028200 is about 723.0606592319.

The spelling of 378028200 in words is "three hundred seventy-eight million, twenty-eight thousand, two hundred".