387395424 has 72 divisors (see below), whose sum is σ = 1186409952. Its totient is φ = 119197440.

The previous prime is 387395423. The next prime is 387395431. The reversal of 387395424 is 424593783.

387395424 is a `hidden beast` number, since 38 + 73 + 9 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×387395424² = 300150429072279552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 387395424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387395423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47992 + ... + 55479.

It is an arithmetic number, because the mean of its divisors is an integer number (16477916).

Almost surely, 2^387395424 is an apocalyptic number.

It is an amenable number.

387395424 is an abundant number, since it is smaller than the sum of its proper divisors (799014528).

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

387395424 is a wasteful number, since it uses less digits than its factorization.

387395424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103500 (or 103489 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 387395424 is about 19682.3632727373. The cubic root of 387395424 is about 728.9842782544.

The spelling of 387395424 in words is "three hundred eighty-seven million, three hundred ninety-five thousand, four hundred twenty-four".