387600 has 120 divisors (see below), whose sum is σ = 1383840. Its totient is φ = 92160.

The previous prime is 387587. The next prime is 387613. The reversal of 387600 is 6783.

It is an interprime number because it is at equal distance from previous prime (387587) and next prime (387613).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 387600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20391 + ... + 20409.

It is an arithmetic number, because the mean of its divisors is an integer number (11532).

2³⁸⁷⁶⁰⁰ is an apocalyptic number.

387600 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 387600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691920).

387600 is an abundant number, since it is smaller than the sum of its proper divisors (996240).

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

387600 is a wasteful number, since it uses less digits than its factorization.

387600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 387600 is about 622.5752966509. The cubic root of 387600 is about 72.9112576487.

The spelling of 387600 in words is "three hundred eighty-seven thousand, six hundred".