387121176 has 96 divisors (see below), whose sum is σ = 1146141360. Its totient is φ = 117317376.

The previous prime is 387121159. The next prime is 387121177. The reversal of 387121176 is 671121783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 387121176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387121177) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59626 + ... + 65798.

Almost surely, 2^387121176 is an apocalyptic number.

387121176 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 387121176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573070680).

387121176 is an abundant number, since it is smaller than the sum of its proper divisors (759020184).

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

387121176 is a wasteful number, since it uses less digits than its factorization.

387121176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6265 (or 6258 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 387121176 is about 19675.3951929815. The cubic root of 387121176 is about 728.8122148937.

The spelling of 387121176 in words is "three hundred eighty-seven million, one hundred twenty-one thousand, one hundred seventy-six".