381884400 has 360 divisors, whose sum is σ = 1412808384. Its totient is φ = 95385600.

The previous prime is 381884369. The next prime is 381884407. The reversal of 381884400 is 4488183.

381884400 is a `hidden beast` number, since 38 + 188 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381884407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6260370 + ... + 6260430.

Almost surely, 2^381884400 is an apocalyptic number.

381884400 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 381884400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706404192).

381884400 is an abundant number, since it is smaller than the sum of its proper divisors (1030923984).

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

381884400 is a wasteful number, since it uses less digits than its factorization.

381884400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 381884400 is about 19541.8627566565. The cubic root of 381884400 is about 725.5109517468.

The spelling of 381884400 in words is "three hundred eighty-one million, eight hundred eighty-four thousand, four hundred".