381115680 has 384 divisors, whose sum is σ = 1437004800. Its totient is φ = 83865600.

The previous prime is 381115601. The next prime is 381115687. The reversal of 381115680 is 86511183.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (381115687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2909215 + ... + 2909345.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200).

Almost surely, 2^381115680 is an apocalyptic number.

381115680 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 381115680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718502400).

381115680 is an abundant number, since it is smaller than the sum of its proper divisors (1055889120).

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

381115680 is a wasteful number, since it uses less digits than its factorization.

381115680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 381115680 is about 19522.1843040168. The cubic root of 381115680 is about 725.0238153096.

It can be divided in two parts, 3811 and 15680, that added together give a palindrome (19491).

The spelling of 381115680 in words is "three hundred eighty-one million, one hundred fifteen thousand, six hundred eighty".