381964800 has 480 divisors, whose sum is σ = 1522224000. Its totient is φ = 84295680.

The previous prime is 381964787. The next prime is 381964813. The reversal of 381964800 is 8469183.

It is an interprime number because it is at equal distance from previous prime (381964787) and next prime (381964813).

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13171186 + ... + 13171214.

It is an arithmetic number, because the mean of its divisors is an integer number (3171300).

Almost surely, 2^381964800 is an apocalyptic number.

381964800 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 381964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761112000).

381964800 is an abundant number, since it is smaller than the sum of its proper divisors (1140259200).

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

381964800 is an equidigital number, since it uses as much as digits as its factorization.

381964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 381964800 is about 19543.9197706090. The cubic root of 381964800 is about 725.5618633031.

The spelling of 381964800 in words is "three hundred eighty-one million, nine hundred sixty-four thousand, eight hundred".