387335377728 has 1008 divisors, whose sum is σ = 1364384286720. Its totient is φ = 104342224896.

The previous prime is 387335377553. The next prime is 387335377729. The reversal of 387335377728 is 827773533783.

387335377728 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 3 + 537 + 77 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387335377729) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3049884801 + ... + 3049884927.

It is an arithmetic number, because the mean of its divisors is an integer number (1353555840).

Almost surely, 2^387335377728 is an apocalyptic number.

387335377728 is a gapful number since it is divisible by the number (38) 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 387335377728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682192143360).

387335377728 is an abundant number, since it is smaller than the sum of its proper divisors (977048908992).

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

387335377728 is a wasteful number, since it uses less digits than its factorization.

387335377728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 278 counting only the distinct ones).

The product of its digits is 124467840, while the sum is 63.

The spelling of 387335377728 in words is "three hundred eighty-seven billion, three hundred thirty-five million, three hundred seventy-seven thousand, seven hundred twenty-eight".