387876460032 has 960 divisors, whose sum is σ = 1296450355200. Its totient is φ = 115288842240.

The previous prime is 387876460031. The next prime is 387876460039. The reversal of 387876460032 is 230064678783.

387876460032 is a `hidden beast` number, since 3 + 87 + 8 + 76 + 460 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387876460031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4909828569 + ... + 4909828647.

It is an arithmetic number, because the mean of its divisors is an integer number (1350469120).

Almost surely, 2^387876460032 is an apocalyptic number.

387876460032 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 387876460032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648225177600).

387876460032 is an abundant number, since it is smaller than the sum of its proper divisors (908573895168).

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

387876460032 is an equidigital number, since it uses as much as digits as its factorization.

387876460032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 387876460032 in words is "three hundred eighty-seven billion, eight hundred seventy-six million, four hundred sixty thousand, thirty-two".