380938896 has 160 divisors (see below), whose sum is σ = 1218672000. Its totient is φ = 113121792.

The previous prime is 380938879. The next prime is 380938897. The reversal of 380938896 is 698839083.

It is a super-2 number, since 2×380938896² = 290228884971397632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380938897) 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 31 ways as a sum of consecutive naturals, for example, 161695 + ... + 164033.

It is an arithmetic number, because the mean of its divisors is an integer number (7616700).

Almost surely, 2^380938896 is an apocalyptic number.

380938896 is a gapful number since it is divisible by the number (36) 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 380938896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609336000).

380938896 is an abundant number, since it is smaller than the sum of its proper divisors (837733104).

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

380938896 is a wasteful number, since it uses less digits than its factorization.

380938896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 380938896 is about 19517.6560068057. The cubic root of 380938896 is about 724.9116949920.

The spelling of 380938896 in words is "three hundred eighty million, nine hundred thirty-eight thousand, eight hundred ninety-six".