387481803903360 has 768 divisors, whose sum is σ = 1436394742473600. Its totient is φ = 96011149639680.

The previous prime is 387481803903307. The next prime is 387481803903373. The reversal of 387481803903360 is 63309308184783.

387481803903360 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 8 + 180 + 3 + 90 + 3 + 360 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1265428356 + ... + 1265734524.

Almost surely, 2^{387481803903360} is an apocalyptic number.

387481803903360 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 387481803903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718197371236800).

387481803903360 is an abundant number, since it is smaller than the sum of its proper divisors (1048912938570240).

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

387481803903360 is a wasteful number, since it uses less digits than its factorization.

387481803903360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306491 (or 306476 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 387481803903360 in words is "three hundred eighty-seven trillion, four hundred eighty-one billion, eight hundred three million, nine hundred three thousand, three hundred sixty".