387768360 has 128 divisors (see below), whose sum is σ = 1356768000. Its totient is φ = 88623360.

The previous prime is 387768349. The next prime is 387768371. The reversal of 387768360 is 63867783.

It is an interprime number because it is at equal distance from previous prime (387768349) and next prime (387768371).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36450 + ... + 45870.

It is an arithmetic number, because the mean of its divisors is an integer number (10599750).

Almost surely, 2^387768360 is an apocalyptic number.

387768360 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 387768360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678384000).

387768360 is an abundant number, since it is smaller than the sum of its proper divisors (968999640).

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

387768360 is a wasteful number, since it uses less digits than its factorization.

387768360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9456 (or 9438 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 387768360 is about 19691.8348561022. The cubic root of 387768360 is about 729.2181282791.

The spelling of 387768360 in words is "three hundred eighty-seven million, seven hundred sixty-eight thousand, three hundred sixty".