387891530729800 has 48 divisors (see below), whose sum is σ = 901854967336740. Its totient is φ = 155155380741120.

The previous prime is 387891530729783. The next prime is 387891530729809. The reversal of 387891530729800 is 8927035198783.

It can be written as a sum of positive squares in 6 ways, for example, as 336391473996484 + 51500056733316 = 18340978^2 + 7176354^2 .

It is a super-3 number, since 3×387891530729800³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 387891530729800.

It is not an unprimeable number, because it can be changed into a prime (387891530729809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17772924 + ... + 33040276.

Almost surely, 2^{387891530729800} is an apocalyptic number.

It is an amenable number.

387891530729800 is an abundant number, since it is smaller than the sum of its proper divisors (513963436606940).

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

387891530729800 is a wasteful number, since it uses less digits than its factorization.

387891530729800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15394402 (or 15394393 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 70.

The spelling of 387891530729800 in words is "three hundred eighty-seven trillion, eight hundred ninety-one billion, five hundred thirty million, seven hundred twenty-nine thousand, eight hundred".