387277952 has 64 divisors (see below), whose sum is σ = 836114400. Its totient is φ = 177967104.

The previous prime is 387277951. The next prime is 387277967. The reversal of 387277952 is 259772783.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 387277952.

It is not an unprimeable number, because it can be changed into a prime (387277951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91499 + ... + 95637.

Almost surely, 2^387277952 is an apocalyptic number.

387277952 is a gapful number since it is divisible by the number (32) 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 387277952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418057200).

387277952 is an abundant number, since it is smaller than the sum of its proper divisors (448836448).

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

387277952 is a wasteful number, since it uses less digits than its factorization.

387277952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4201 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 50.

The square root of 387277952 is about 19679.3788519862. The cubic root of 387277952 is about 728.9105861962.

The spelling of 387277952 in words is "three hundred eighty-seven million, two hundred seventy-seven thousand, nine hundred fifty-two".