387671353633200 has 1920 divisors, whose sum is σ = 1560321093058560. Its totient is φ = 80108343705600.

The previous prime is 387671353633171. The next prime is 387671353633219. The reversal of 387671353633200 is 2336353176783.

It is a super-4 number, since 4×387671353633200⁴ (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 920834568990 + ... + 920834569410.

It is an arithmetic number, because the mean of its divisors is an integer number (812667235968).

Almost surely, 2^{387671353633200} is an apocalyptic number.

387671353633200 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 387671353633200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780160546529280).

387671353633200 is an abundant number, since it is smaller than the sum of its proper divisors (1172649739425360).

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

387671353633200 is a wasteful number, since it uses less digits than its factorization.

387671353633200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 57.

The spelling of 387671353633200 in words is "three hundred eighty-seven trillion, six hundred seventy-one billion, three hundred fifty-three million, six hundred thirty-three thousand, two hundred".