383006880 has 144 divisors (see below), whose sum is σ = 1355556384. Its totient is φ = 102124800.

The previous prime is 383006863. The next prime is 383006881. The reversal of 383006880 is 88600383.

It is a tau number, because it is divible by the number of its divisors (144).

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 (383006881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33955 + ... + 43805.

It is an arithmetic number, because the mean of its divisors is an integer number (9413586).

Almost surely, 2^383006880 is an apocalyptic number.

383006880 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 383006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677778192).

383006880 is an abundant number, since it is smaller than the sum of its proper divisors (972549504).

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

383006880 is an equidigital number, since it uses as much as digits as its factorization.

383006880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9881 (or 9861 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 383006880 is about 19570.5615657804. The cubic root of 383006880 is about 726.2210924196.

The spelling of 383006880 in words is "three hundred eighty-three million, six thousand, eight hundred eighty".