380536408 has 128 divisors (see below), whose sum is σ = 903168000. Its totient is φ = 146655360.

The previous prime is 380536339. The next prime is 380536433. The reversal of 380536408 is 804635083.

380536408 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2737603 + ... + 2737741.

It is an arithmetic number, because the mean of its divisors is an integer number (7056000).

Almost surely, 2^380536408 is an apocalyptic number.

380536408 is a gapful number since it is divisible by the number (38) 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 380536408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451584000).

380536408 is an abundant number, since it is smaller than the sum of its proper divisors (522631592).

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

380536408 is a wasteful number, since it uses less digits than its factorization.

380536408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 380536408 is about 19507.3424125379. The cubic root of 380536408 is about 724.6562987597.

The spelling of 380536408 in words is "three hundred eighty million, five hundred thirty-six thousand, four hundred eight".