386343144 has 192 divisors, whose sum is σ = 1207664640. Its totient is φ = 110436480.

The previous prime is 386343137. The next prime is 386343161. The reversal of 386343144 is 441343683.

It is a happy number.

386343144 is a `hidden beast` number, since 3 + 8 + 634 + 3 + 14 + 4 = 666.

It is a super-2 number, since 2×386343144² = 298522049831609472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 386343099 and 386343108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2313349 + ... + 2313515.

It is an arithmetic number, because the mean of its divisors is an integer number (6289920).

Almost surely, 2^386343144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386343144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603832320).

386343144 is an abundant number, since it is smaller than the sum of its proper divisors (821321496).

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

386343144 is a wasteful number, since it uses less digits than its factorization.

386343144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 333 counting only the distinct ones).

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

The square root of 386343144 is about 19655.6135493146. The cubic root of 386343144 is about 728.3236344340.

The spelling of 386343144 in words is "three hundred eighty-six million, three hundred forty-three thousand, one hundred forty-four".