386634240 has 240 divisors, whose sum is σ = 1360647288. Its totient is φ = 101449728.

The previous prime is 386634239. The next prime is 386634251. The reversal of 386634240 is 42436683.

It is a happy number.

386634240 is a `hidden beast` number, since 386 + 6 + 34 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 363131136 + 23503104 = 19056^2 + 4848^2 .

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 junction number, because it is equal to n+sod(n) for n = 386634195 and 386634204.

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, 2234794 + ... + 2234966.

Almost surely, 2^386634240 is an apocalyptic number.

386634240 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 386634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680323644).

386634240 is an abundant number, since it is smaller than the sum of its proper divisors (974013048).

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

386634240 is a wasteful number, since it uses less digits than its factorization.

386634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 386634240 is about 19663.0170624958. The cubic root of 386634240 is about 728.5065106106.

The spelling of 386634240 in words is "three hundred eighty-six million, six hundred thirty-four thousand, two hundred forty".