381870720 has 768 divisors, whose sum is σ = 1758153600. Its totient is φ = 77414400.

The previous prime is 381870719. The next prime is 381870737. The reversal of 381870720 is 27078183.

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

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 95 ways as a sum of consecutive naturals, for example, 9313900 + ... + 9313940.

Almost surely, 2^381870720 is an apocalyptic number.

381870720 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 381870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879076800).

381870720 is an abundant number, since it is smaller than the sum of its proper divisors (1376282880).

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

381870720 is a wasteful number, since it uses less digits than its factorization.

381870720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 381870720 is about 19541.5127357121. The cubic root of 381870720 is about 725.5022884721.

The spelling of 381870720 in words is "three hundred eighty-one million, eight hundred seventy thousand, seven hundred twenty".