387673600 has 120 divisors (see below), whose sum is σ = 992490048. Its totient is φ = 149913600.

The previous prime is 387673577. The next prime is 387673603. The reversal of 387673600 is 6376783.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387673603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396312 + ... + 397288.

Almost surely, 2^387673600 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 387673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496245024).

387673600 is an abundant number, since it is smaller than the sum of its proper divisors (604816448).

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

387673600 is an equidigital number, since it uses as much as digits as its factorization.

387673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 387673600 is about 19689.4286356918. The cubic root of 387673600 is about 729.1587231062.

The spelling of 387673600 in words is "three hundred eighty-seven million, six hundred seventy-three thousand, six hundred".