381624880 has 320 divisors, whose sum is σ = 1199923200. Its totient is φ = 109486080.

The previous prime is 381624863. The next prime is 381624889. The reversal of 381624880 is 88426183.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (381624889) 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, 4287876 + ... + 4287964.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2^381624880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381624880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599961600).

381624880 is an abundant number, since it is smaller than the sum of its proper divisors (818298320).

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

381624880 is a wasteful number, since it uses less digits than its factorization.

381624880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 381624880 is about 19535.2215242111. The cubic root of 381624880 is about 725.3465675600.

The spelling of 381624880 in words is "three hundred eighty-one million, six hundred twenty-four thousand, eight hundred eighty".