381704400 has 840 divisors, whose sum is σ = 1815044544. Its totient is φ = 74649600.

The previous prime is 381704387. The next prime is 381704419. The reversal of 381704400 is 4407183.

It is a tau number, because it is divible by the number of its divisors (840).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 22453192 + ... + 22453208.

Almost surely, 2^381704400 is an apocalyptic number.

381704400 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 381704400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907522272).

381704400 is an abundant number, since it is smaller than the sum of its proper divisors (1433340144).

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

381704400 is a wasteful number, since it uses less digits than its factorization.

381704400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 381704400 is about 19537.2567163356. The cubic root of 381704400 is about 725.3969447377.

The spelling of 381704400 in words is "three hundred eighty-one million, seven hundred four thousand, four hundred".