381582720 has 192 divisors, whose sum is σ = 1360794240. Its totient is φ = 98426880.

The previous prime is 381582709. The next prime is 381582749. The reversal of 381582720 is 27285183.

381582720 is a `hidden beast` number, since 3 + 8 + 1 + 582 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 177492 + ... + 179628.

It is an arithmetic number, because the mean of its divisors is an integer number (7087470).

Almost surely, 2^381582720 is an apocalyptic number.

381582720 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 381582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680397120).

381582720 is an abundant number, since it is smaller than the sum of its proper divisors (979211520).

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

381582720 is a wasteful number, since it uses less digits than its factorization.

381582720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 381582720 is about 19534.1424178283. The cubic root of 381582720 is about 725.3198556944.

The spelling of 381582720 in words is "three hundred eighty-one million, five hundred eighty-two thousand, seven hundred twenty".