380633840 has 80 divisors (see below), whose sum is σ = 944939520. Its totient is φ = 142168320.

The previous prime is 380633801. The next prime is 380633861. The reversal of 380633840 is 48336083.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 380633840.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 106157 + ... + 109683.

It is an arithmetic number, because the mean of its divisors is an integer number (11811744).

Almost surely, 2^380633840 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 380633840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472469760).

380633840 is an abundant number, since it is smaller than the sum of its proper divisors (564305680).

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

380633840 is a wasteful number, since it uses less digits than its factorization.

380633840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 380633840 is about 19509.8395687919. The cubic root of 380633840 is about 724.7181401376.

The spelling of 380633840 in words is "three hundred eighty million, six hundred thirty-three thousand, eight hundred forty".