387366336 has 168 divisors, whose sum is σ = 1278111744. Its totient is φ = 109877760.

The previous prime is 387366323. The next prime is 387366337. The reversal of 387366336 is 633663783.

387366336 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 6 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 387366291 and 387366300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387366337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 769861 + ... + 770363.

It is an arithmetic number, because the mean of its divisors is an integer number (7607808).

Almost surely, 2^387366336 is an apocalyptic number.

387366336 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 387366336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639055872).

387366336 is an abundant number, since it is smaller than the sum of its proper divisors (890745408).

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

387366336 is a wasteful number, since it uses less digits than its factorization.

387366336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 706 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The square root of 387366336 is about 19681.6243232107. The cubic root of 387366336 is about 728.9660322762.

The spelling of 387366336 in words is "three hundred eighty-seven million, three hundred sixty-six thousand, three hundred thirty-six".