387294336 has 192 divisors, whose sum is σ = 1309875840. Its totient is φ = 108288000.

The previous prime is 387294301. The next prime is 387294337. The reversal of 387294336 is 633492783.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 387294291 and 387294300.

It is not an unprimeable number, because it can be changed into a prime (387294337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163561 + ... + 165911.

It is an arithmetic number, because the mean of its divisors is an integer number (6822270).

Almost surely, 2^387294336 is an apocalyptic number.

387294336 is a gapful number since it is divisible by the number (36) 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 387294336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654937920).

387294336 is an abundant number, since it is smaller than the sum of its proper divisors (922581504).

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

387294336 is a wasteful number, since it uses less digits than its factorization.

387294336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2380 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 387294336 is about 19679.7951208848. The cubic root of 387294336 is about 728.9208650347.

The spelling of 387294336 in words is "three hundred eighty-seven million, two hundred ninety-four thousand, three hundred thirty-six".