387345024 has 256 divisors, whose sum is σ = 1304294400. Its totient is φ = 112020480.

The previous prime is 387345011. The next prime is 387345053. The reversal of 387345024 is 420543783.

It is a happy number.

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

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 387345024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 874147 + ... + 874589.

It is an arithmetic number, because the mean of its divisors is an integer number (5094900).

Almost surely, 2^387345024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387345024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652147200).

387345024 is an abundant number, since it is smaller than the sum of its proper divisors (916949376).

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

387345024 is a wasteful number, since it uses less digits than its factorization.

387345024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 387345024 is about 19681.0828970359. The cubic root of 387345024 is about 728.9526633559.

The spelling of 387345024 in words is "three hundred eighty-seven million, three hundred forty-five thousand, twenty-four".