381762720 has 192 divisors, whose sum is σ = 1353905280. Its totient is φ = 101710080.

The previous prime is 381762701. The next prime is 381762739. The reversal of 381762720 is 27267183.

381762720 is a `hidden beast` number, since 3 + 8 + 1 + 7 + 627 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (381762701) and next prime (381762739).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349375 + ... + 350465.

It is an arithmetic number, because the mean of its divisors is an integer number (7051590).

Almost surely, 2^381762720 is an apocalyptic number.

381762720 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 381762720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676952640).

381762720 is an abundant number, since it is smaller than the sum of its proper divisors (972142560).

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

381762720 is an equidigital number, since it uses as much as digits as its factorization.

381762720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 381762720 is about 19538.7491923101. The cubic root of 381762720 is about 725.4338869330.

The spelling of 381762720 in words is "three hundred eighty-one million, seven hundred sixty-two thousand, seven hundred twenty".