387338400 has 216 divisors, whose sum is σ = 1425846240. Its totient is φ = 98757120.

The previous prime is 387338359. The next prime is 387338417. The reversal of 387338400 is 4833783.

It is a super-2 number, since 2×387338400² = 300062072229120000, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 164431 + ... + 166769.

It is an arithmetic number, because the mean of its divisors is an integer number (6601140).

Almost surely, 2^387338400 is an apocalyptic number.

387338400 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 387338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712923120).

387338400 is an abundant number, since it is smaller than the sum of its proper divisors (1038507840).

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

387338400 is a wasteful number, since it uses less digits than its factorization.

387338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 387338400 is about 19680.9146128934. The cubic root of 387338400 is about 728.9485080511.

The spelling of 387338400 in words is "three hundred eighty-seven million, three hundred thirty-eight thousand, four hundred".