389067120 has 240 divisors, whose sum is σ = 1420971552. Its totient is φ = 94832640.

The previous prime is 389067101. The next prime is 389067121. The reversal of 389067120 is 21760983.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389067121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1843815 + ... + 1844025.

Almost surely, 2^389067120 is an apocalyptic number.

389067120 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 389067120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710485776).

389067120 is an abundant number, since it is smaller than the sum of its proper divisors (1031904432).

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

389067120 is a wasteful number, since it uses less digits than its factorization.

389067120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 389067120 is about 19724.7844094682. The cubic root of 389067120 is about 730.0313491260.

The spelling of 389067120 in words is "three hundred eighty-nine million, sixty-seven thousand, one hundred twenty".