381260880 has 720 divisors, whose sum is σ = 1797134976. Its totient is φ = 69949440.

The previous prime is 381260879. The next prime is 381260881. The reversal of 381260880 is 88062183.

381260880 is a `hidden beast` number, since 38 + 12 + 608 + 8 + 0 = 666.

381260880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (381260879) and next prime (381260881).

It is a tau number, because it is divible by the number of its divisors (720).

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 (381260881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16576549 + ... + 16576571.

Almost surely, 2^381260880 is an apocalyptic number.

381260880 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 381260880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898567488).

381260880 is an abundant number, since it is smaller than the sum of its proper divisors (1415874096).

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

381260880 is a wasteful number, since it uses less digits than its factorization.

381260880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 381260880 is about 19525.9027960297. The cubic root of 381260880 is about 725.1158784260.

The spelling of 381260880 in words is "three hundred eighty-one million, two hundred sixty thousand, eight hundred eighty".