386421840 has 300 divisors, whose sum is σ = 1562501556. Its totient is φ = 88252416.

The previous prime is 386421823. The next prime is 386421853. The reversal of 386421840 is 48124683.

386421840 is a `hidden beast` number, since 3 + 8 + 642 + 1 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 134374464 + 252047376 = 11592^2 + 15876^2 .

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 = 386421795 and 386421804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 316912 + ... + 318128.

Almost surely, 2^386421840 is an apocalyptic number.

386421840 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 386421840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781250778).

386421840 is an abundant number, since it is smaller than the sum of its proper divisors (1176079716).

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

386421840 is a wasteful number, since it uses less digits than its factorization.

386421840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 386421840 is about 19657.6153182424. The cubic root of 386421840 is about 728.3730829328.

The spelling of 386421840 in words is "three hundred eighty-six million, four hundred twenty-one thousand, eight hundred forty".