387105432 has 128 divisors (see below), whose sum is σ = 1150156800. Its totient is φ = 106243200.

The previous prime is 387105421. The next prime is 387105437. The reversal of 387105432 is 234501783.

It is a junction number, because it is equal to n+sod(n) for n = 387105393 and 387105402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387105437) 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, 1244557 + ... + 1244867.

It is an arithmetic number, because the mean of its divisors is an integer number (8985600).

Almost surely, 2^387105432 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 387105432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575078400).

387105432 is an abundant number, since it is smaller than the sum of its proper divisors (763051368).

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

387105432 is a wasteful number, since it uses less digits than its factorization.

387105432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 387105432 is about 19674.9950952980. The cubic root of 387105432 is about 728.8023346324.

The spelling of 387105432 in words is "three hundred eighty-seven million, one hundred five thousand, four hundred thirty-two".