387399657600 has 288 divisors, whose sum is σ = 1389986647140. Its totient is φ = 102734438400.

The previous prime is 387399657581. The next prime is 387399657637. The reversal of 387399657600 is 6756993783.

It can be written as a sum of positive squares in 6 ways, for example, as 39365734464 + 348033923136 = 198408^2 + 589944^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5175642 + ... + 5249958.

Almost surely, 2^387399657600 is an apocalyptic number.

387399657600 is a gapful number since it is divisible by the number (30) 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 387399657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694993323570).

387399657600 is an abundant number, since it is smaller than the sum of its proper divisors (1002586989540).

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

387399657600 is a wasteful number, since it uses less digits than its factorization.

387399657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74528 (or 74508 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 387399657600 in words is "three hundred eighty-seven billion, three hundred ninety-nine million, six hundred fifty-seven thousand, six hundred".