387656720 has 160 divisors (see below), whose sum is σ = 1041361920. Its totient is φ = 132830720.

The previous prime is 387656701. The next prime is 387656723. The reversal of 387656720 is 27656783.

It is a Cunningham number, because it is equal to 19689²-1.

It is a super-3 number, since 3×387656720³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (387656723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2165591 + ... + 2165769.

It is an arithmetic number, because the mean of its divisors is an integer number (6508512).

Almost surely, 2^387656720 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 387656720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520680960).

387656720 is an abundant number, since it is smaller than the sum of its proper divisors (653705200).

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

387656720 is a wasteful number, since it uses less digits than its factorization.

387656720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The square root of 387656720 is about 19688.9999746051. Note that the first 4 decimals coincide. The cubic root of 387656720 is about 729.1481399955.

The spelling of 387656720 in words is "three hundred eighty-seven million, six hundred fifty-six thousand, seven hundred twenty".