387991296 has 360 divisors, whose sum is σ = 1448329344. Its totient is φ = 100776960.

The previous prime is 387991283. The next prime is 387991297. The reversal of 387991296 is 692199783.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387991297) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35271931 + ... + 35271941.

Almost surely, 2^387991296 is an apocalyptic number.

387991296 is a gapful number since it is divisible by the number (36) 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 387991296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724164672).

387991296 is an abundant number, since it is smaller than the sum of its proper divisors (1060338048).

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

387991296 is an frugal number, since it uses more digits than its factorization.

387991296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 23 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 387991296 is about 19697.4946630276. The cubic root of 387991296 is about 729.3578490029.

The spelling of 387991296 in words is "three hundred eighty-seven million, nine hundred ninety-one thousand, two hundred ninety-six".