387036800 has 96 divisors (see below), whose sum is σ = 968836800. Its totient is φ = 152755200.

The previous prime is 387036791. The next prime is 387036803. The reversal of 387036800 is 8630783.

It is not an unprimeable number, because it can be changed into a prime (387036803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252035 + ... + 253565.

It is an arithmetic number, because the mean of its divisors is an integer number (10092050).

Almost surely, 2^387036800 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 387036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484418400).

387036800 is an abundant number, since it is smaller than the sum of its proper divisors (581800000).

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

387036800 is a wasteful number, since it uses less digits than its factorization.

387036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 387036800 is about 19673.2508752367. The cubic root of 387036800 is about 728.7592609940.

The spelling of 387036800 in words is "three hundred eighty-seven million, thirty-six thousand, eight hundred".