387868968 has 72 divisors (see below), whose sum is σ = 1089229050. Its totient is φ = 124541760.

The previous prime is 387868951. The next prime is 387868969. The reversal of 387868968 is 869868783.

It can be written as a sum of positive squares in only one way, i.e., 327682404 + 60186564 = 18102^2 + 7758^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (387868969) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 899713 + ... + 900143.

Almost surely, 2^387868968 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 387868968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544614525).

387868968 is an abundant number, since it is smaller than the sum of its proper divisors (701360082).

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

387868968 is a wasteful number, since it uses less digits than its factorization.

387868968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 465 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The square root of 387868968 is about 19694.3892517641. The cubic root of 387868968 is about 729.2811889797.

The spelling of 387868968 in words is "three hundred eighty-seven million, eight hundred sixty-eight thousand, nine hundred sixty-eight".