387906720 has 192 divisors, whose sum is σ = 1277337600. Its totient is φ = 98841600.

The previous prime is 387906719. The next prime is 387906721. The reversal of 387906720 is 27609783.

It is an interprime number because it is at equal distance from previous prime (387906719) and next prime (387906721).

It is a super-3 number, since 3×387906720³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (387906721) 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, 1949181 + ... + 1949379.

It is an arithmetic number, because the mean of its divisors is an integer number (6652800).

Almost surely, 2^387906720 is an apocalyptic number.

387906720 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 387906720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638668800).

387906720 is an abundant number, since it is smaller than the sum of its proper divisors (889430880).

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

387906720 is a wasteful number, since it uses less digits than its factorization.

387906720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 387906720 is about 19695.3476740067. The cubic root of 387906720 is about 729.3048489719.

The spelling of 387906720 in words is "three hundred eighty-seven million, nine hundred six thousand, seven hundred twenty".