380261376 has 264 divisors, whose sum is σ = 1246672128. Its totient is φ = 111513600.

The previous prime is 380261363. The next prime is 380261377. The reversal of 380261376 is 673162083.

It is a happy number.

380261376 is a `hidden beast` number, since 38 + 0 + 2 + 613 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 380261376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380261377) 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, 12266481 + ... + 12266511.

Almost surely, 2^380261376 is an apocalyptic number.

380261376 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 380261376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623336064).

380261376 is an abundant number, since it is smaller than the sum of its proper divisors (866410752).

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

380261376 is a wasteful number, since it uses less digits than its factorization.

380261376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 380261376 is about 19500.2916901261. The cubic root of 380261376 is about 724.4816753406.

The spelling of 380261376 in words is "three hundred eighty million, two hundred sixty-one thousand, three hundred seventy-six".