380276640 has 384 divisors, whose sum is σ = 1447891200. Its totient is φ = 92897280.

The previous prime is 380276627. The next prime is 380276651. The reversal of 380276640 is 46672083.

380276640 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 7 + 6 + 640 = 666.

It is a super-2 number, since 2×380276640² = 289220645859379200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 380276595 and 380276604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3365224 + ... + 3365336.

It is an arithmetic number, because the mean of its divisors is an integer number (3770550).

Almost surely, 2^380276640 is an apocalyptic number.

380276640 is a gapful number since it is divisible by the number (30) 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 380276640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723945600).

380276640 is an abundant number, since it is smaller than the sum of its proper divisors (1067614560).

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

380276640 is a wasteful number, since it uses less digits than its factorization.

380276640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 380276640 is about 19500.6830649595. The cubic root of 380276640 is about 724.4913689716.

The spelling of 380276640 in words is "three hundred eighty million, two hundred seventy-six thousand, six hundred forty".