387808512 has 288 divisors, whose sum is σ = 1318625280. Its totient is φ = 98426880.

The previous prime is 387808469. The next prime is 387808517. The reversal of 387808512 is 215808783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387808517) 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, 2166439 + ... + 2166617.

It is an arithmetic number, because the mean of its divisors is an integer number (4578560).

Almost surely, 2^387808512 is an apocalyptic number.

387808512 is a gapful number since it is divisible by the number (32) 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 387808512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659312640).

387808512 is an abundant number, since it is smaller than the sum of its proper divisors (930816768).

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

387808512 is a wasteful number, since it uses less digits than its factorization.

387808512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 387808512 is about 19692.8543385666. The cubic root of 387808512 is about 729.2432967033.

The spelling of 387808512 in words is "three hundred eighty-seven million, eight hundred eight thousand, five hundred twelve".