387488206800 has 90 divisors (see below), whose sum is σ = 1344691725702. Its totient is φ = 103330187520.

The previous prime is 387488206783. The next prime is 387488206801. The reversal of 387488206800 is 8602884783.

387488206800 is a `hidden beast` number, since 3 + 87 + 488 + 2 + 0 + 6 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 27228960144 + 360259246656 = 165012^2 + 600216^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×387488206800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387488206801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53814207 + ... + 53821406.

Almost surely, 2^387488206800 is an apocalyptic number.

387488206800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

387488206800 is an abundant number, since it is smaller than the sum of its proper divisors (957203518902).

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

387488206800 is a wasteful number, since it uses less digits than its factorization.

387488206800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107635637 (or 107635623 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 387488206800 in words is "three hundred eighty-seven billion, four hundred eighty-eight million, two hundred six thousand, eight hundred".