387735432 has 256 divisors, whose sum is σ = 1240320000. Its totient is φ = 100590336.

The previous prime is 387735427. The next prime is 387735443. The reversal of 387735432 is 234537783.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (423360) is a multiple of the sum of its prime divisors (135).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5787063 + ... + 5787129.

It is an arithmetic number, because the mean of its divisors is an integer number (4845000).

Almost surely, 2^387735432 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 387735432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620160000).

387735432 is an abundant number, since it is smaller than the sum of its proper divisors (852584568).

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

387735432 is a wasteful number, since it uses less digits than its factorization.

387735432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 135 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The square root of 387735432 is about 19690.9987557767. The cubic root of 387735432 is about 729.1974867684.

The spelling of 387735432 in words is "three hundred eighty-seven million, seven hundred thirty-five thousand, four hundred thirty-two".