389083680 has 144 divisors (see below), whose sum is σ = 1336981464. Its totient is φ = 103034880.

The previous prime is 389083679. The next prime is 389083693. The reversal of 389083680 is 86380983.

It can be written as a sum of positive squares in 4 ways, for example, as 316697616 + 72386064 = 17796^2 + 8508^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×389083680² = 302772220084684800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225220 + ... + 226940.

Almost surely, 2^389083680 is an apocalyptic number.

389083680 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 389083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668490732).

389083680 is an abundant number, since it is smaller than the sum of its proper divisors (947897784).

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

389083680 is a wasteful number, since it uses less digits than its factorization.

389083680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 389083680 is about 19725.2041814527. The cubic root of 389083680 is about 730.0417065056.

The spelling of 389083680 in words is "three hundred eighty-nine million, eighty-three thousand, six hundred eighty".