380608956 has 216 divisors, whose sum is σ = 1238450304. Its totient is φ = 100077120.

The previous prime is 380608909. The next prime is 380608957. The reversal of 380608956 is 659806083.

380608956 is a `hidden beast` number, since 38 + 0 + 608 + 9 + 5 + 6 = 666.

380608956 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380608957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1149711 + ... + 1150041.

Almost surely, 2^380608956 is an apocalyptic number.

380608956 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 380608956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619225152).

380608956 is an abundant number, since it is smaller than the sum of its proper divisors (857841348).

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

380608956 is a wasteful number, since it uses less digits than its factorization.

380608956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 380608956 is about 19509.2018288806. The cubic root of 380608956 is about 724.7023469375.

The spelling of 380608956 in words is "three hundred eighty million, six hundred eight thousand, nine hundred fifty-six".