387146760 has 384 divisors, whose sum is σ = 1576592640. Its totient is φ = 74004480.

The previous prime is 387146743. The next prime is 387146761. The reversal of 387146760 is 67641783.

It is a super-2 number, since 2×387146760² = 299765227556995200, which contains 22 as substring.

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 (387146761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1321174 + ... + 1321466.

It is an arithmetic number, because the mean of its divisors is an integer number (4105710).

Almost surely, 2^387146760 is an apocalyptic number.

387146760 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 387146760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788296320).

387146760 is an abundant number, since it is smaller than the sum of its proper divisors (1189445880).

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

387146760 is a wasteful number, since it uses less digits than its factorization.

387146760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 387146760 is about 19676.0453343653. The cubic root of 387146760 is about 728.8282697469.

The spelling of 387146760 in words is "three hundred eighty-seven million, one hundred forty-six thousand, seven hundred sixty".