380364705 has 96 divisors (see below), whose sum is σ = 809952000. Its totient is φ = 164602368.

The previous prime is 380364671. The next prime is 380364709. The reversal of 380364705 is 507463083.

It is a happy number.

380364705 is a `hidden beast` number, since 3 + 8 + 0 + 3 + 647 + 0 + 5 = 666.

It is not a de Polignac number, because 380364705 - 2¹¹ = 380362657 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 380364705.

It is not an unprimeable number, because it can be changed into a prime (380364709) 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 95 ways as a sum of consecutive naturals, for example, 292617 + ... + 293913.

It is an arithmetic number, because the mean of its divisors is an integer number (8437000).

Almost surely, 2^380364705 is an apocalyptic number.

380364705 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

380364705 is an abundant number, since it is smaller than the sum of its proper divisors (429587295).

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

380364705 is a wasteful number, since it uses less digits than its factorization.

380364705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 380364705 is about 19502.9409320748. The cubic root of 380364705 is about 724.5472908989.

It can be divided in two parts, 380 and 364705, that added together give a triangular number (365085 = T₈₅₄).

The spelling of 380364705 in words is "three hundred eighty million, three hundred sixty-four thousand, seven hundred five".