389370240 has 640 divisors, whose sum is σ = 1688385600. Its totient is φ = 83607552.

The previous prime is 389370221. The next prime is 389370253. The reversal of 389370240 is 42073983.

389370240 is a `hidden beast` number, since 389 + 37 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 389370195 and 389370204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10523502 + ... + 10523538.

Almost surely, 2^389370240 is an apocalyptic number.

389370240 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 389370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844192800).

389370240 is an abundant number, since it is smaller than the sum of its proper divisors (1299015360).

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

389370240 is a wasteful number, since it uses less digits than its factorization.

389370240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

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

The square root of 389370240 is about 19732.4666476343. The cubic root of 389370240 is about 730.2208876813.

The spelling of 389370240 in words is "three hundred eighty-nine million, three hundred seventy thousand, two hundred forty".